prompt stringlengths 50 973 | response stringlengths 14 4.76k | source stringclasses 7
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Question: In a office, there are 4 desks placed in 2 rows of 2 each. Two items are chosen at random without replacement. What is the probability that they are in the same row? Express your answer as a common fraction in simplest form.
Answer: | Total number of ways to select 2 desks from 4 is C(4,2) = 6.
Each row contains 2 desks.
The number of ways to select 2 desks from a single row is C(2,2) = 1.
There are 2 rows, so the number of favorable pairs is 2 * 1 = 2.
The probability is 2/6.
Simplifying the fraction gives 1/3.
#### 1/3 | tp_probability | a0e773490c | general |
Question: In a warehouse, there are 18 boxes placed in 3 racks of 6 each. Two items are chosen at random without replacement. What is the probability that they are in the same row? Express your answer as a common fraction in simplest form.
Answer: | Total number of ways to select 2 boxes from 18 is C(18,2) = 153.
Each row contains 6 boxes.
The number of ways to select 2 boxes from a single row is C(6,2) = 15.
There are 3 rows, so the number of favorable pairs is 3 * 15 = 45.
The probability is 45/153.
Simplifying the fraction gives 5/17.
#### 5/17 | tp_probability | a0e773490c | general |
Question: In a school, there are 15 students placed in 3 rows of 5 each. Two items are chosen at random without replacement. What is the probability that they are in the same row? Express your answer as a common fraction in simplest form.
Answer: | Total number of ways to select 2 students from 15 is C(15,2) = 105.
Each row contains 5 students.
The number of ways to select 2 students from a single row is C(5,2) = 10.
There are 3 rows, so the number of favorable pairs is 3 * 10 = 30.
The probability is 30/105.
Simplifying the fraction gives 2/7.
#### 2/7 | tp_probability | a0e773490c | general |
Question: A office has 25 identical desks arranged in a 5x5 matrix. Two items are chosen at random without replacement. What is the probability that they are in the same row? Express your answer as a common fraction in simplest form.
Answer: | Total number of ways to select 2 desks from 25 is C(25,2) = 300.
Each row contains 5 desks.
The number of ways to select 2 desks from a single row is C(5,2) = 10.
There are 5 rows, so the number of favorable pairs is 5 * 10 = 50.
The probability is 50/300.
Simplifying the fraction gives 1/6.
#### 1/6 | tp_probability | a0e773490c | general |
Question: In a office, there are 10 desks placed in 2 rows of 5 each. Two items are chosen at random without replacement. What is the probability that they are in the same row? Express your answer as a common fraction in simplest form.
Answer: | Total number of ways to select 2 desks from 10 is C(10,2) = 45.
Each row contains 5 desks.
The number of ways to select 2 desks from a single row is C(5,2) = 10.
There are 2 rows, so the number of favorable pairs is 2 * 10 = 20.
The probability is 20/45.
Simplifying the fraction gives 4/9.
#### 4/9 | tp_probability | a0e773490c | general |
Question: A library has 6 identical books arranged in a 3x2 matrix. Two items are chosen at random without replacement. What is the probability that they are in the same row? Express your answer as a common fraction in simplest form.
Answer: | Total number of ways to select 2 books from 6 is C(6,2) = 15.
Each row contains 2 books.
The number of ways to select 2 books from a single row is C(2,2) = 1.
There are 3 rows, so the number of favorable pairs is 3 * 1 = 3.
The probability is 3/15.
Simplifying the fraction gives 1/5.
#### 1/5 | tp_probability | a0e773490c | general |
Question: In a garden, there are 10 flowers placed in 2 beds of 5 each. Two items are chosen at random without replacement. What is the probability that they are in the same row? Express your answer as a common fraction in simplest form.
Answer: | Total number of ways to select 2 flowers from 10 is C(10,2) = 45.
Each row contains 5 flowers.
The number of ways to select 2 flowers from a single row is C(5,2) = 10.
There are 2 rows, so the number of favorable pairs is 2 * 10 = 20.
The probability is 20/45.
Simplifying the fraction gives 4/9.
#### 4/9 | tp_probability | a0e773490c | general |
Question: A display in a library contains 4 books in a grid of 2 rows and 2 columns. Two items are chosen at random without replacement. What is the probability that they are in the same row? Express your answer as a common fraction in simplest form.
Answer: | Total number of ways to select 2 books from 4 is C(4,2) = 6.
Each row contains 2 books.
The number of ways to select 2 books from a single row is C(2,2) = 1.
There are 2 rows, so the number of favorable pairs is 2 * 1 = 2.
The probability is 2/6.
Simplifying the fraction gives 1/3.
#### 1/3 | tp_probability | a0e773490c | general |
Question: A display in a office contains 30 desks in a grid of 5 rows and 6 columns. Two items are chosen at random without replacement. What is the probability that they are in the same row? Express your answer as a common fraction in simplest form.
Answer: | Total number of ways to select 2 desks from 30 is C(30,2) = 435.
Each row contains 6 desks.
The number of ways to select 2 desks from a single row is C(6,2) = 15.
There are 5 rows, so the number of favorable pairs is 5 * 15 = 75.
The probability is 75/435.
Simplifying the fraction gives 5/29.
#### 5/29 | tp_probability | a0e773490c | general |
Question: A school has 24 identical students arranged in a 4x6 matrix. Two items are chosen at random without replacement. What is the probability that they are in the same row? Express your answer as a common fraction in simplest form.
Answer: | Total number of ways to select 2 students from 24 is C(24,2) = 276.
Each row contains 6 students.
The number of ways to select 2 students from a single row is C(6,2) = 15.
There are 4 rows, so the number of favorable pairs is 4 * 15 = 60.
The probability is 60/276.
Simplifying the fraction gives 5/23.
#### 5/23 | tp_probability | a0e773490c | general |
Question: A school has 10 identical students arranged in a 2x5 matrix. Two items are chosen at random without replacement. What is the probability that they are in the same row? Express your answer as a common fraction in simplest form.
Answer: | Total number of ways to select 2 students from 10 is C(10,2) = 45.
Each row contains 5 students.
The number of ways to select 2 students from a single row is C(5,2) = 10.
There are 2 rows, so the number of favorable pairs is 2 * 10 = 20.
The probability is 20/45.
Simplifying the fraction gives 4/9.
#### 4/9 | tp_probability | a0e773490c | general |
Question: In a garden, there are 4 flowers placed in 2 beds of 2 each. Two items are chosen at random without replacement. What is the probability that they are in the same row? Express your answer as a common fraction in simplest form.
Answer: | Total number of ways to select 2 flowers from 4 is C(4,2) = 6.
Each row contains 2 flowers.
The number of ways to select 2 flowers from a single row is C(2,2) = 1.
There are 2 rows, so the number of favorable pairs is 2 * 1 = 2.
The probability is 2/6.
Simplifying the fraction gives 1/3.
#### 1/3 | tp_probability | a0e773490c | general |
Question: A office has 30 identical desks arranged in a 5x6 matrix. Two items are chosen at random without replacement. What is the probability that they are in the same row? Express your answer as a common fraction in simplest form.
Answer: | Total number of ways to select 2 desks from 30 is C(30,2) = 435.
Each row contains 6 desks.
The number of ways to select 2 desks from a single row is C(6,2) = 15.
There are 5 rows, so the number of favorable pairs is 5 * 15 = 75.
The probability is 75/435.
Simplifying the fraction gives 5/29.
#### 5/29 | tp_probability | a0e773490c | general |
Question: A office has 12 identical desks arranged in a 3x4 matrix. Two items are chosen at random without replacement. What is the probability that they are in the same row? Express your answer as a common fraction in simplest form.
Answer: | Total number of ways to select 2 desks from 12 is C(12,2) = 66.
Each row contains 4 desks.
The number of ways to select 2 desks from a single row is C(4,2) = 6.
There are 3 rows, so the number of favorable pairs is 3 * 6 = 18.
The probability is 18/66.
Simplifying the fraction gives 3/11.
#### 3/11 | tp_probability | a0e773490c | general |
Question: A library has 4 identical books arranged in a 2x2 matrix. Two items are chosen at random without replacement. What is the probability that they are in the same row? Express your answer as a common fraction in simplest form.
Answer: | Total number of ways to select 2 books from 4 is C(4,2) = 6.
Each row contains 2 books.
The number of ways to select 2 books from a single row is C(2,2) = 1.
There are 2 rows, so the number of favorable pairs is 2 * 1 = 2.
The probability is 2/6.
Simplifying the fraction gives 1/3.
#### 1/3 | tp_probability | a0e773490c | general |
Question: A garden has 15 identical flowers arranged in a 5x3 matrix. Two items are chosen at random without replacement. What is the probability that they are in the same row? Express your answer as a common fraction in simplest form.
Answer: | Total number of ways to select 2 flowers from 15 is C(15,2) = 105.
Each row contains 3 flowers.
The number of ways to select 2 flowers from a single row is C(3,2) = 3.
There are 5 rows, so the number of favorable pairs is 5 * 3 = 15.
The probability is 15/105.
Simplifying the fraction gives 1/7.
#### 1/7 | tp_probability | a0e773490c | general |
Question: A library has 10 identical books arranged in a 5x2 matrix. Two items are chosen at random without replacement. What is the probability that they are in the same row? Express your answer as a common fraction in simplest form.
Answer: | Total number of ways to select 2 books from 10 is C(10,2) = 45.
Each row contains 2 books.
The number of ways to select 2 books from a single row is C(2,2) = 1.
There are 5 rows, so the number of favorable pairs is 5 * 1 = 5.
The probability is 5/45.
Simplifying the fraction gives 1/9.
#### 1/9 | tp_probability | a0e773490c | general |
Question: A display in a office contains 10 desks in a grid of 2 rows and 5 columns. Two items are chosen at random without replacement. What is the probability that they are in the same row? Express your answer as a common fraction in simplest form.
Answer: | Total number of ways to select 2 desks from 10 is C(10,2) = 45.
Each row contains 5 desks.
The number of ways to select 2 desks from a single row is C(5,2) = 10.
There are 2 rows, so the number of favorable pairs is 2 * 10 = 20.
The probability is 20/45.
Simplifying the fraction gives 4/9.
#### 4/9 | tp_probability | a0e773490c | general |
Question: A garden has 4 identical flowers arranged in a 2x2 matrix. Two items are chosen at random without replacement. What is the probability that they are in the same row? Express your answer as a common fraction in simplest form.
Answer: | Total number of ways to select 2 flowers from 4 is C(4,2) = 6.
Each row contains 2 flowers.
The number of ways to select 2 flowers from a single row is C(2,2) = 1.
There are 2 rows, so the number of favorable pairs is 2 * 1 = 2.
The probability is 2/6.
Simplifying the fraction gives 1/3.
#### 1/3 | tp_probability | a0e773490c | general |
Question: A library has 9 identical books arranged in a 3x3 matrix. Two items are chosen at random without replacement. What is the probability that they are in the same row? Express your answer as a common fraction in simplest form.
Answer: | Total number of ways to select 2 books from 9 is C(9,2) = 36.
Each row contains 3 books.
The number of ways to select 2 books from a single row is C(3,2) = 3.
There are 3 rows, so the number of favorable pairs is 3 * 3 = 9.
The probability is 9/36.
Simplifying the fraction gives 1/4.
#### 1/4 | tp_probability | a0e773490c | general |
Question: A firm produces Lantern-Style eco-tourism guidebooks. Annual fixed costs are $457000, and each unit costs $2 to produce. The selling price is $9 per unit. How many units are needed to break even?
Answer: | Fixed costs = $457,000
Variable cost per unit = $2
Selling price per unit = $9
Contribution margin per unit = $9 - $2 = $7
Break-even units = $457,000 / $7 = 65285.714...
Units must be whole, so round up to 65,286
#### 65,286 | tp_finance | ee27ff5591 | general |
Question: A company manufactures Owl-Style nature trail maps. The fixed costs for the production facility are $316000 per year, and the variable cost is $11 per unit. If the selling price is $25 per unit, how many units must be sold to break even?
Answer: | Fixed costs = $316,000
Variable cost per unit = $11
Selling price per unit = $25
Contribution margin per unit = $25 - $11 = $14
Break-even units = $316,000 / $14 = 22571.429...
Units must be whole, so round up to 22,572
#### 22,572 | tp_finance | ee27ff5591 | general |
Question: A firm produces Owl-Style nature trail maps. Annual fixed costs are $304000, and each unit costs $10 to produce. The selling price is $22 per unit. How many units are needed to break even?
Answer: | Fixed costs = $304,000
Variable cost per unit = $10
Selling price per unit = $22
Contribution margin per unit = $22 - $10 = $12
Break-even units = $304,000 / $12 = 25333.333...
Units must be whole, so round up to 25,334
#### 25,334 | tp_finance | ee27ff5591 | general |
Question: A company manufactures Lantern-Style eco-tourism guidebooks. The fixed costs for the production facility are $316000 per year, and the variable cost is $9 per unit. If the selling price is $20 per unit, how many units must be sold to break even?
Answer: | Fixed costs = $316,000
Variable cost per unit = $9
Selling price per unit = $20
Contribution margin per unit = $20 - $9 = $11
Break-even units = $316,000 / $11 = 28727.273...
Units must be whole, so round up to 28,728
#### 28,728 | tp_finance | ee27ff5591 | general |
Question: A company manufactures Forest-Style wildlife field guides. The fixed costs for the production facility are $301000 per year, and the variable cost is $6 per unit. If the selling price is $12 per unit, how many units must be sold to break even?
Answer: | Fixed costs = $301,000
Variable cost per unit = $6
Selling price per unit = $12
Contribution margin per unit = $12 - $6 = $6
Break-even units = $301,000 / $6 = 50166.667...
Units must be whole, so round up to 50,167
#### 50,167 | tp_finance | ee27ff5591 | general |
Question: A firm produces Forest-Style wildlife field guides. Annual fixed costs are $103000, and each unit costs $6 to produce. The selling price is $22 per unit. How many units are needed to break even?
Answer: | Fixed costs = $103,000
Variable cost per unit = $6
Selling price per unit = $22
Contribution margin per unit = $22 - $6 = $16
Break-even units = $103,000 / $16 = 6437.500...
Units must be whole, so round up to 6,438
#### 6,438 | tp_finance | ee27ff5591 | general |
Question: A company manufactures River-Style adventure journals. The fixed costs for the production facility are $236000 per year, and the variable cost is $8 per unit. If the selling price is $26 per unit, how many units must be sold to break even?
Answer: | Fixed costs = $236,000
Variable cost per unit = $8
Selling price per unit = $26
Contribution margin per unit = $26 - $8 = $18
Break-even units = $236,000 / $18 = 13111.111...
Units must be whole, so round up to 13,112
#### 13,112 | tp_finance | ee27ff5591 | general |
Question: A company manufactures Owl-Style nature trail maps. The fixed costs for the production facility are $296000 per year, and the variable cost is $12 per unit. If the selling price is $26 per unit, how many units must be sold to break even?
Answer: | Fixed costs = $296,000
Variable cost per unit = $12
Selling price per unit = $26
Contribution margin per unit = $26 - $12 = $14
Break-even units = $296,000 / $14 = 21142.857...
Units must be whole, so round up to 21,143
#### 21,143 | tp_finance | ee27ff5591 | general |
Question: A company manufactures Lantern-Style eco-tourism guidebooks. The fixed costs for the production facility are $251000 per year, and the variable cost is $12 per unit. If the selling price is $25 per unit, how many units must be sold to break even?
Answer: | Fixed costs = $251,000
Variable cost per unit = $12
Selling price per unit = $25
Contribution margin per unit = $25 - $12 = $13
Break-even units = $251,000 / $13 = 19307.692...
Units must be whole, so round up to 19,308
#### 19,308 | tp_finance | ee27ff5591 | general |
Question: A company manufactures Lantern-Style eco-tourism guidebooks. The fixed costs for the production facility are $67000 per year, and the variable cost is $7 per unit. If the selling price is $14 per unit, how many units must be sold to break even?
Answer: | Fixed costs = $67,000
Variable cost per unit = $7
Selling price per unit = $14
Contribution margin per unit = $14 - $7 = $7
Break-even units = $67,000 / $7 = 9571.429...
Units must be whole, so round up to 9,572
#### 9,572 | tp_finance | ee27ff5591 | general |
Question: A company manufactures Mountain-Style hiking handbooks. The fixed costs for the production facility are $107000 per year, and the variable cost is $2 per unit. If the selling price is $17 per unit, how many units must be sold to break even?
Answer: | Fixed costs = $107,000
Variable cost per unit = $2
Selling price per unit = $17
Contribution margin per unit = $17 - $2 = $15
Break-even units = $107,000 / $15 = 7133.333...
Units must be whole, so round up to 7,134
#### 7,134 | tp_finance | ee27ff5591 | general |
Question: A company manufactures Lantern-Style eco-tourism guidebooks. The fixed costs for the production facility are $408000 per year, and the variable cost is $11 per unit. If the selling price is $29 per unit, how many units must be sold to break even?
Answer: | Fixed costs = $408,000
Variable cost per unit = $11
Selling price per unit = $29
Contribution margin per unit = $29 - $11 = $18
Break-even units = $408,000 / $18 = 22666.667...
Units must be whole, so round up to 22,667
#### 22,667 | tp_finance | ee27ff5591 | general |
Question: A company manufactures Mountain-Style hiking handbooks. The fixed costs for the production facility are $248000 per year, and the variable cost is $12 per unit. If the selling price is $30 per unit, how many units must be sold to break even?
Answer: | Fixed costs = $248,000
Variable cost per unit = $12
Selling price per unit = $30
Contribution margin per unit = $30 - $12 = $18
Break-even units = $248,000 / $18 = 13777.778...
Units must be whole, so round up to 13,778
#### 13,778 | tp_finance | ee27ff5591 | general |
Question: A company manufactures Mountain-Style hiking handbooks. The fixed costs for the production facility are $380000 per year, and the variable cost is $5 per unit. If the selling price is $14 per unit, how many units must be sold to break even?
Answer: | Fixed costs = $380,000
Variable cost per unit = $5
Selling price per unit = $14
Contribution margin per unit = $14 - $5 = $9
Break-even units = $380,000 / $9 = 42222.222...
Units must be whole, so round up to 42,223
#### 42,223 | tp_finance | ee27ff5591 | general |
Question: A firm produces Owl-Style nature trail maps. Annual fixed costs are $439000, and each unit costs $12 to produce. The selling price is $27 per unit. How many units are needed to break even?
Answer: | Fixed costs = $439,000
Variable cost per unit = $12
Selling price per unit = $27
Contribution margin per unit = $27 - $12 = $15
Break-even units = $439,000 / $15 = 29266.667...
Units must be whole, so round up to 29,267
#### 29,267 | tp_finance | ee27ff5591 | general |
Question: A company manufactures Lantern-Style eco-tourism guidebooks. The fixed costs for the production facility are $262000 per year, and the variable cost is $12 per unit. If the selling price is $15 per unit, how many units must be sold to break even?
Answer: | Fixed costs = $262,000
Variable cost per unit = $12
Selling price per unit = $15
Contribution margin per unit = $15 - $12 = $3
Break-even units = $262,000 / $3 = 87333.333...
Units must be whole, so round up to 87,334
#### 87,334 | tp_finance | ee27ff5591 | general |
Question: A company manufactures Lantern-Style eco-tourism guidebooks. The fixed costs for the production facility are $93000 per year, and the variable cost is $9 per unit. If the selling price is $25 per unit, how many units must be sold to break even?
Answer: | Fixed costs = $93,000
Variable cost per unit = $9
Selling price per unit = $25
Contribution margin per unit = $25 - $9 = $16
Break-even units = $93,000 / $16 = 5812.500...
Units must be whole, so round up to 5,813
#### 5,813 | tp_finance | ee27ff5591 | general |
Question: A company manufactures Owl-Style nature trail maps. The fixed costs for the production facility are $107000 per year, and the variable cost is $3 per unit. If the selling price is $12 per unit, how many units must be sold to break even?
Answer: | Fixed costs = $107,000
Variable cost per unit = $3
Selling price per unit = $12
Contribution margin per unit = $12 - $3 = $9
Break-even units = $107,000 / $9 = 11888.889...
Units must be whole, so round up to 11,889
#### 11,889 | tp_finance | ee27ff5591 | general |
Question: A firm produces Owl-Style nature trail maps. Annual fixed costs are $206000, and each unit costs $4 to produce. The selling price is $23 per unit. How many units are needed to break even?
Answer: | Fixed costs = $206,000
Variable cost per unit = $4
Selling price per unit = $23
Contribution margin per unit = $23 - $4 = $19
Break-even units = $206,000 / $19 = 10842.105...
Units must be whole, so round up to 10,843
#### 10,843 | tp_finance | ee27ff5591 | general |
Question: A company manufactures Mountain-Style hiking handbooks. The fixed costs for the production facility are $347000 per year, and the variable cost is $7 per unit. If the selling price is $18 per unit, how many units must be sold to break even?
Answer: | Fixed costs = $347,000
Variable cost per unit = $7
Selling price per unit = $18
Contribution margin per unit = $18 - $7 = $11
Break-even units = $347,000 / $11 = 31545.455...
Units must be whole, so round up to 31,546
#### 31,546 | tp_finance | ee27ff5591 | general |
Question: A firm produces Mountain-Style hiking handbooks. Annual fixed costs are $458000, and each unit costs $5 to produce. The selling price is $17 per unit. How many units are needed to break even?
Answer: | Fixed costs = $458,000
Variable cost per unit = $5
Selling price per unit = $17
Contribution margin per unit = $17 - $5 = $12
Break-even units = $458,000 / $12 = 38166.667...
Units must be whole, so round up to 38,167
#### 38,167 | tp_finance | ee27ff5591 | general |
Question: A firm produces Mountain-Style hiking handbooks. Annual fixed costs are $396000, and each unit costs $2 to produce. The selling price is $16 per unit. How many units are needed to break even?
Answer: | Fixed costs = $396,000
Variable cost per unit = $2
Selling price per unit = $16
Contribution margin per unit = $16 - $2 = $14
Break-even units = $396,000 / $14 = 28285.714...
Units must be whole, so round up to 28,286
#### 28,286 | tp_finance | ee27ff5591 | general |
Question: A firm produces River-Style adventure journals. Annual fixed costs are $90000, and each unit costs $6 to produce. The selling price is $19 per unit. How many units are needed to break even?
Answer: | Fixed costs = $90,000
Variable cost per unit = $6
Selling price per unit = $19
Contribution margin per unit = $19 - $6 = $13
Break-even units = $90,000 / $13 = 6923.077...
Units must be whole, so round up to 6,924
#### 6,924 | tp_finance | ee27ff5591 | general |
Question: A company manufactures Owl-Style nature trail maps. The fixed costs for the production facility are $187000 per year, and the variable cost is $6 per unit. If the selling price is $12 per unit, how many units must be sold to break even?
Answer: | Fixed costs = $187,000
Variable cost per unit = $6
Selling price per unit = $12
Contribution margin per unit = $12 - $6 = $6
Break-even units = $187,000 / $6 = 31166.667...
Units must be whole, so round up to 31,167
#### 31,167 | tp_finance | ee27ff5591 | general |
Question: A company manufactures Mountain-Style hiking handbooks. The fixed costs for the production facility are $398000 per year, and the variable cost is $12 per unit. If the selling price is $31 per unit, how many units must be sold to break even?
Answer: | Fixed costs = $398,000
Variable cost per unit = $12
Selling price per unit = $31
Contribution margin per unit = $31 - $12 = $19
Break-even units = $398,000 / $19 = 20947.368...
Units must be whole, so round up to 20,948
#### 20,948 | tp_finance | ee27ff5591 | general |
Question: A firm produces Mountain-Style hiking handbooks. Annual fixed costs are $214000, and each unit costs $11 to produce. The selling price is $25 per unit. How many units are needed to break even?
Answer: | Fixed costs = $214,000
Variable cost per unit = $11
Selling price per unit = $25
Contribution margin per unit = $25 - $11 = $14
Break-even units = $214,000 / $14 = 15285.714...
Units must be whole, so round up to 15,286
#### 15,286 | tp_finance | ee27ff5591 | general |
Question: A company manufactures Forest-Style wildlife field guides. The fixed costs for the production facility are $94000 per year, and the variable cost is $3 per unit. If the selling price is $15 per unit, how many units must be sold to break even?
Answer: | Fixed costs = $94,000
Variable cost per unit = $3
Selling price per unit = $15
Contribution margin per unit = $15 - $3 = $12
Break-even units = $94,000 / $12 = 7833.333...
Units must be whole, so round up to 7,834
#### 7,834 | tp_finance | ee27ff5591 | general |
Question: A firm produces Owl-Style nature trail maps. Annual fixed costs are $107000, and each unit costs $4 to produce. The selling price is $16 per unit. How many units are needed to break even?
Answer: | Fixed costs = $107,000
Variable cost per unit = $4
Selling price per unit = $16
Contribution margin per unit = $16 - $4 = $12
Break-even units = $107,000 / $12 = 8916.667...
Units must be whole, so round up to 8,917
#### 8,917 | tp_finance | ee27ff5591 | general |
Question: A firm produces Owl-Style nature trail maps. Annual fixed costs are $478000, and each unit costs $10 to produce. The selling price is $28 per unit. How many units are needed to break even?
Answer: | Fixed costs = $478,000
Variable cost per unit = $10
Selling price per unit = $28
Contribution margin per unit = $28 - $10 = $18
Break-even units = $478,000 / $18 = 26555.556...
Units must be whole, so round up to 26,556
#### 26,556 | tp_finance | ee27ff5591 | general |
Question: A firm produces Owl-Style nature trail maps. Annual fixed costs are $323000, and each unit costs $7 to produce. The selling price is $18 per unit. How many units are needed to break even?
Answer: | Fixed costs = $323,000
Variable cost per unit = $7
Selling price per unit = $18
Contribution margin per unit = $18 - $7 = $11
Break-even units = $323,000 / $11 = 29363.636...
Units must be whole, so round up to 29,364
#### 29,364 | tp_finance | ee27ff5591 | general |
Question: A company manufactures Forest-Style wildlife field guides. The fixed costs for the production facility are $109000 per year, and the variable cost is $5 per unit. If the selling price is $17 per unit, how many units must be sold to break even?
Answer: | Fixed costs = $109,000
Variable cost per unit = $5
Selling price per unit = $17
Contribution margin per unit = $17 - $5 = $12
Break-even units = $109,000 / $12 = 9083.333...
Units must be whole, so round up to 9,084
#### 9,084 | tp_finance | ee27ff5591 | general |
Question: A company manufactures Mountain-Style hiking handbooks. The fixed costs for the production facility are $151000 per year, and the variable cost is $4 per unit. If the selling price is $22 per unit, how many units must be sold to break even?
Answer: | Fixed costs = $151,000
Variable cost per unit = $4
Selling price per unit = $22
Contribution margin per unit = $22 - $4 = $18
Break-even units = $151,000 / $18 = 8388.889...
Units must be whole, so round up to 8,389
#### 8,389 | tp_finance | ee27ff5591 | general |
Question: A firm produces Owl-Style nature trail maps. Annual fixed costs are $57000, and each unit costs $6 to produce. The selling price is $19 per unit. How many units are needed to break even?
Answer: | Fixed costs = $57,000
Variable cost per unit = $6
Selling price per unit = $19
Contribution margin per unit = $19 - $6 = $13
Break-even units = $57,000 / $13 = 4384.615...
Units must be whole, so round up to 4,385
#### 4,385 | tp_finance | ee27ff5591 | general |
Question: A firm produces Mountain-Style hiking handbooks. Annual fixed costs are $265000, and each unit costs $9 to produce. The selling price is $16 per unit. How many units are needed to break even?
Answer: | Fixed costs = $265,000
Variable cost per unit = $9
Selling price per unit = $16
Contribution margin per unit = $16 - $9 = $7
Break-even units = $265,000 / $7 = 37857.143...
Units must be whole, so round up to 37,858
#### 37,858 | tp_finance | ee27ff5591 | general |
Question: A firm produces Forest-Style wildlife field guides. Annual fixed costs are $230000, and each unit costs $4 to produce. The selling price is $23 per unit. How many units are needed to break even?
Answer: | Fixed costs = $230,000
Variable cost per unit = $4
Selling price per unit = $23
Contribution margin per unit = $23 - $4 = $19
Break-even units = $230,000 / $19 = 12105.263...
Units must be whole, so round up to 12,106
#### 12,106 | tp_finance | ee27ff5591 | general |
Question: A firm produces Lantern-Style eco-tourism guidebooks. Annual fixed costs are $227000, and each unit costs $3 to produce. The selling price is $19 per unit. How many units are needed to break even?
Answer: | Fixed costs = $227,000
Variable cost per unit = $3
Selling price per unit = $19
Contribution margin per unit = $19 - $3 = $16
Break-even units = $227,000 / $16 = 14187.500...
Units must be whole, so round up to 14,188
#### 14,188 | tp_finance | ee27ff5591 | general |
Question: A company manufactures Forest-Style wildlife field guides. The fixed costs for the production facility are $107000 per year, and the variable cost is $9 per unit. If the selling price is $24 per unit, how many units must be sold to break even?
Answer: | Fixed costs = $107,000
Variable cost per unit = $9
Selling price per unit = $24
Contribution margin per unit = $24 - $9 = $15
Break-even units = $107,000 / $15 = 7133.333...
Units must be whole, so round up to 7,134
#### 7,134 | tp_finance | ee27ff5591 | general |
Question: A firm produces Lantern-Style eco-tourism guidebooks. Annual fixed costs are $467000, and each unit costs $9 to produce. The selling price is $22 per unit. How many units are needed to break even?
Answer: | Fixed costs = $467,000
Variable cost per unit = $9
Selling price per unit = $22
Contribution margin per unit = $22 - $9 = $13
Break-even units = $467,000 / $13 = 35923.077...
Units must be whole, so round up to 35,924
#### 35,924 | tp_finance | ee27ff5591 | general |
Question: A company manufactures Forest-Style wildlife field guides. The fixed costs for the production facility are $214000 per year, and the variable cost is $2 per unit. If the selling price is $14 per unit, how many units must be sold to break even?
Answer: | Fixed costs = $214,000
Variable cost per unit = $2
Selling price per unit = $14
Contribution margin per unit = $14 - $2 = $12
Break-even units = $214,000 / $12 = 17833.333...
Units must be whole, so round up to 17,834
#### 17,834 | tp_finance | ee27ff5591 | general |
Question: A company manufactures River-Style adventure journals. The fixed costs for the production facility are $464000 per year, and the variable cost is $12 per unit. If the selling price is $25 per unit, how many units must be sold to break even?
Answer: | Fixed costs = $464,000
Variable cost per unit = $12
Selling price per unit = $25
Contribution margin per unit = $25 - $12 = $13
Break-even units = $464,000 / $13 = 35692.308...
Units must be whole, so round up to 35,693
#### 35,693 | tp_finance | ee27ff5591 | general |
Question: Two researchers are working to shelve a collection of 17,736 books. Researcher A can shelve 319 books per day, while indexer B can shelve 442 books per day. If they work together for 2 days, and then Researcher A works alone for an additional 7 days, how many books remain unshelveed?
Answer: | Combined daily rate of A and B: 319 + 442 = 761 books per day
Books shelveed in 2 days together: 761 * 2 = 1522 books
Books shelveed by A alone in 7 days: 319 * 7 = 2233 books
Total books shelveed: 1522 + 2233 = 3755 books
Books remaining unshelveed: 17736 - 3755 = 13981 books
#### 13981 | tp_wordproblem | e73f1fecdd | general |
Question: Two historians are working to shelve a collection of 18,052 manuscripts. Historian A can shelve 130 manuscripts per day, while scholar B can shelve 489 manuscripts per day. If they work together for 4 days, and then Historian A works alone for an additional 2 days, how many manuscripts remain unshelveed?
Answ... | Combined daily rate of A and B: 130 + 489 = 619 manuscripts per day
Manuscripts shelveed in 4 days together: 619 * 4 = 2476 manuscripts
Manuscripts shelveed by A alone in 2 days: 130 * 2 = 260 manuscripts
Total manuscripts shelveed: 2476 + 260 = 2736 manuscripts
Manuscripts remaining unshelveed: 18052 - 2736 = 15316 m... | tp_wordproblem | e73f1fecdd | general |
Question: Two librarians are working to shelve a collection of 13,535 records. Librarian A can shelve 404 records per day, while cataloger B can shelve 315 records per day. If they work together for 4 days, and then Librarian A works alone for an additional 3 days, how many records remain unshelveed?
Answer: | Combined daily rate of A and B: 404 + 315 = 719 records per day
Records shelveed in 4 days together: 719 * 4 = 2876 records
Records shelveed by A alone in 3 days: 404 * 3 = 1212 records
Total records shelveed: 2876 + 1212 = 4088 records
Records remaining unshelveed: 13535 - 4088 = 9447 records
#### 9447 | tp_wordproblem | e73f1fecdd | general |
Question: Two historians are working to shelve a collection of 13,148 documents. Historian A can shelve 386 documents per day, while scholar B can shelve 284 documents per day. If they work together for 4 days, and then Historian A works alone for an additional 8 days, how many documents remain unshelveed?
Answer: | Combined daily rate of A and B: 386 + 284 = 670 documents per day
Documents shelveed in 4 days together: 670 * 4 = 2680 documents
Documents shelveed by A alone in 8 days: 386 * 8 = 3088 documents
Total documents shelveed: 2680 + 3088 = 5768 documents
Documents remaining unshelveed: 13148 - 5768 = 7380 documents
#### 7... | tp_wordproblem | e73f1fecdd | general |
Question: Two librarians are working to index a collection of 11,899 manuscripts. Librarian A can index 154 manuscripts per day, while cataloger B can index 468 manuscripts per day. If they work together for 10 days, and then Librarian A works alone for an additional 9 days, how many manuscripts remain unindexed?
Answe... | Combined daily rate of A and B: 154 + 468 = 622 manuscripts per day
Manuscripts indexed in 10 days together: 622 * 10 = 6220 manuscripts
Manuscripts indexed by A alone in 9 days: 154 * 9 = 1386 manuscripts
Total manuscripts indexed: 6220 + 1386 = 7606 manuscripts
Manuscripts remaining unindexed: 11899 - 7606 = 4293 ma... | tp_wordproblem | e73f1fecdd | general |
Question: Two researchers are working to process a collection of 12,915 records. Researcher A can process 304 records per day, while indexer B can process 375 records per day. If they work together for 7 days, and then Researcher A works alone for an additional 10 days, how many records remain unprocessed?
Answer: | Combined daily rate of A and B: 304 + 375 = 679 records per day
Records processed in 7 days together: 679 * 7 = 4753 records
Records processed by A alone in 10 days: 304 * 10 = 3040 records
Total records processed: 4753 + 3040 = 7793 records
Records remaining unprocessed: 12915 - 7793 = 5122 records
#### 5122 | tp_wordproblem | e73f1fecdd | general |
Question: Two librarians are working to catalog a collection of 10,679 records. Librarian A can catalog 128 records per day, while cataloger B can catalog 217 records per day. If they work together for 8 days, and then Librarian A works alone for an additional 1 days, how many records remain uncataloged?
Answer: | Combined daily rate of A and B: 128 + 217 = 345 records per day
Records cataloged in 8 days together: 345 * 8 = 2760 records
Records cataloged by A alone in 1 days: 128 * 1 = 128 records
Total records cataloged: 2760 + 128 = 2888 records
Records remaining uncataloged: 10679 - 2888 = 7791 records
#### 7791 | tp_wordproblem | e73f1fecdd | general |
Question: Two librarians are working to catalog a collection of 19,023 manuscripts. Librarian A can catalog 116 manuscripts per day, while cataloger B can catalog 404 manuscripts per day. If they work together for 3 days, and then Librarian A works alone for an additional 5 days, how many manuscripts remain uncataloged... | Combined daily rate of A and B: 116 + 404 = 520 manuscripts per day
Manuscripts cataloged in 3 days together: 520 * 3 = 1560 manuscripts
Manuscripts cataloged by A alone in 5 days: 116 * 5 = 580 manuscripts
Total manuscripts cataloged: 1560 + 580 = 2140 manuscripts
Manuscripts remaining uncataloged: 19023 - 2140 = 168... | tp_wordproblem | e73f1fecdd | general |
Question: Two archivists are working to catalog a collection of 13,516 manuscripts. Archivist A can catalog 327 manuscripts per day, while curator B can catalog 274 manuscripts per day. If they work together for 2 days, and then Archivist A works alone for an additional 2 days, how many manuscripts remain uncataloged?
... | Combined daily rate of A and B: 327 + 274 = 601 manuscripts per day
Manuscripts cataloged in 2 days together: 601 * 2 = 1202 manuscripts
Manuscripts cataloged by A alone in 2 days: 327 * 2 = 654 manuscripts
Total manuscripts cataloged: 1202 + 654 = 1856 manuscripts
Manuscripts remaining uncataloged: 13516 - 1856 = 116... | tp_wordproblem | e73f1fecdd | general |
Question: Two historians are working to process a collection of 7,952 manuscripts. Historian A can process 106 manuscripts per day, while scholar B can process 349 manuscripts per day. If they work together for 2 days, and then Historian A works alone for an additional 9 days, how many manuscripts remain unprocessed?
A... | Combined daily rate of A and B: 106 + 349 = 455 manuscripts per day
Manuscripts processed in 2 days together: 455 * 2 = 910 manuscripts
Manuscripts processed by A alone in 9 days: 106 * 9 = 954 manuscripts
Total manuscripts processed: 910 + 954 = 1864 manuscripts
Manuscripts remaining unprocessed: 7952 - 1864 = 6088 m... | tp_wordproblem | e73f1fecdd | general |
Question: Two historians are working to shelve a collection of 15,993 documents. Historian A can shelve 409 documents per day, while scholar B can shelve 226 documents per day. If they work together for 9 days, and then Historian A works alone for an additional 2 days, how many documents remain unshelveed?
Answer: | Combined daily rate of A and B: 409 + 226 = 635 documents per day
Documents shelveed in 9 days together: 635 * 9 = 5715 documents
Documents shelveed by A alone in 2 days: 409 * 2 = 818 documents
Total documents shelveed: 5715 + 818 = 6533 documents
Documents remaining unshelveed: 15993 - 6533 = 9460 documents
#### 946... | tp_wordproblem | e73f1fecdd | general |
Question: Two historians are working to shelve a collection of 11,011 documents. Historian A can shelve 229 documents per day, while scholar B can shelve 115 documents per day. If they work together for 7 days, and then Historian A works alone for an additional 3 days, how many documents remain unshelveed?
Answer: | Combined daily rate of A and B: 229 + 115 = 344 documents per day
Documents shelveed in 7 days together: 344 * 7 = 2408 documents
Documents shelveed by A alone in 3 days: 229 * 3 = 687 documents
Total documents shelveed: 2408 + 687 = 3095 documents
Documents remaining unshelveed: 11011 - 3095 = 7916 documents
#### 791... | tp_wordproblem | e73f1fecdd | general |
Question: Two archivists are working to index a collection of 10,545 records. Archivist A can index 181 records per day, while curator B can index 174 records per day. If they work together for 7 days, and then Archivist A works alone for an additional 4 days, how many records remain unindexed?
Answer: | Combined daily rate of A and B: 181 + 174 = 355 records per day
Records indexed in 7 days together: 355 * 7 = 2485 records
Records indexed by A alone in 4 days: 181 * 4 = 724 records
Total records indexed: 2485 + 724 = 3209 records
Records remaining unindexed: 10545 - 3209 = 7336 records
#### 7336 | tp_wordproblem | e73f1fecdd | general |
Question: Two archivists are working to catalog a collection of 19,836 documents. Archivist A can catalog 351 documents per day, while curator B can catalog 491 documents per day. If they work together for 5 days, and then Archivist A works alone for an additional 3 days, how many documents remain uncataloged?
Answer: | Combined daily rate of A and B: 351 + 491 = 842 documents per day
Documents cataloged in 5 days together: 842 * 5 = 4210 documents
Documents cataloged by A alone in 3 days: 351 * 3 = 1053 documents
Total documents cataloged: 4210 + 1053 = 5263 documents
Documents remaining uncataloged: 19836 - 5263 = 14573 documents
#... | tp_wordproblem | e73f1fecdd | general |
Question: Two historians are working to process a collection of 13,446 documents. Historian A can process 102 documents per day, while scholar B can process 222 documents per day. If they work together for 5 days, and then Historian A works alone for an additional 1 days, how many documents remain unprocessed?
Answer: | Combined daily rate of A and B: 102 + 222 = 324 documents per day
Documents processed in 5 days together: 324 * 5 = 1620 documents
Documents processed by A alone in 1 days: 102 * 1 = 102 documents
Total documents processed: 1620 + 102 = 1722 documents
Documents remaining unprocessed: 13446 - 1722 = 11724 documents
###... | tp_wordproblem | e73f1fecdd | general |
Question: Two librarians are working to index a collection of 10,977 books. Librarian A can index 473 books per day, while cataloger B can index 299 books per day. If they work together for 9 days, and then Librarian A works alone for an additional 6 days, how many books remain unindexed?
Answer: | Combined daily rate of A and B: 473 + 299 = 772 books per day
Books indexed in 9 days together: 772 * 9 = 6948 books
Books indexed by A alone in 6 days: 473 * 6 = 2838 books
Total books indexed: 6948 + 2838 = 9786 books
Books remaining unindexed: 10977 - 9786 = 1191 books
#### 1191 | tp_wordproblem | e73f1fecdd | general |
Question: Two researchers are working to catalog a collection of 12,885 records. Researcher A can catalog 425 records per day, while indexer B can catalog 318 records per day. If they work together for 4 days, and then Researcher A works alone for an additional 2 days, how many records remain uncataloged?
Answer: | Combined daily rate of A and B: 425 + 318 = 743 records per day
Records cataloged in 4 days together: 743 * 4 = 2972 records
Records cataloged by A alone in 2 days: 425 * 2 = 850 records
Total records cataloged: 2972 + 850 = 3822 records
Records remaining uncataloged: 12885 - 3822 = 9063 records
#### 9063 | tp_wordproblem | e73f1fecdd | general |
Question: Two librarians are working to process a collection of 11,454 records. Librarian A can process 428 records per day, while cataloger B can process 494 records per day. If they work together for 7 days, and then Librarian A works alone for an additional 2 days, how many records remain unprocessed?
Answer: | Combined daily rate of A and B: 428 + 494 = 922 records per day
Records processed in 7 days together: 922 * 7 = 6454 records
Records processed by A alone in 2 days: 428 * 2 = 856 records
Total records processed: 6454 + 856 = 7310 records
Records remaining unprocessed: 11454 - 7310 = 4144 records
#### 4144 | tp_wordproblem | e73f1fecdd | general |
Question: Two historians are working to index a collection of 5,561 manuscripts. Historian A can index 270 manuscripts per day, while scholar B can index 209 manuscripts per day. If they work together for 2 days, and then Historian A works alone for an additional 4 days, how many manuscripts remain unindexed?
Answer: | Combined daily rate of A and B: 270 + 209 = 479 manuscripts per day
Manuscripts indexed in 2 days together: 479 * 2 = 958 manuscripts
Manuscripts indexed by A alone in 4 days: 270 * 4 = 1080 manuscripts
Total manuscripts indexed: 958 + 1080 = 2038 manuscripts
Manuscripts remaining unindexed: 5561 - 2038 = 3523 manuscr... | tp_wordproblem | e73f1fecdd | general |
Question: Two librarians are working to process a collection of 6,846 records. Librarian A can process 112 records per day, while cataloger B can process 336 records per day. If they work together for 7 days, and then Librarian A works alone for an additional 10 days, how many records remain unprocessed?
Answer: | Combined daily rate of A and B: 112 + 336 = 448 records per day
Records processed in 7 days together: 448 * 7 = 3136 records
Records processed by A alone in 10 days: 112 * 10 = 1120 records
Total records processed: 3136 + 1120 = 4256 records
Records remaining unprocessed: 6846 - 4256 = 2590 records
#### 2590 | tp_wordproblem | e73f1fecdd | general |
Question: Two researchers are working to shelve a collection of 13,701 documents. Researcher A can shelve 360 documents per day, while indexer B can shelve 191 documents per day. If they work together for 10 days, and then Researcher A works alone for an additional 4 days, how many documents remain unshelveed?
Answer: | Combined daily rate of A and B: 360 + 191 = 551 documents per day
Documents shelveed in 10 days together: 551 * 10 = 5510 documents
Documents shelveed by A alone in 4 days: 360 * 4 = 1440 documents
Total documents shelveed: 5510 + 1440 = 6950 documents
Documents remaining unshelveed: 13701 - 6950 = 6751 documents
####... | tp_wordproblem | e73f1fecdd | general |
Question: Two historians are working to index a collection of 7,169 books. Historian A can index 311 books per day, while scholar B can index 405 books per day. If they work together for 6 days, and then Historian A works alone for an additional 2 days, how many books remain unindexed?
Answer: | Combined daily rate of A and B: 311 + 405 = 716 books per day
Books indexed in 6 days together: 716 * 6 = 4296 books
Books indexed by A alone in 2 days: 311 * 2 = 622 books
Total books indexed: 4296 + 622 = 4918 books
Books remaining unindexed: 7169 - 4918 = 2251 books
#### 2251 | tp_wordproblem | e73f1fecdd | general |
Question: Two historians are working to catalog a collection of 13,004 records. Historian A can catalog 467 records per day, while scholar B can catalog 331 records per day. If they work together for 8 days, and then Historian A works alone for an additional 3 days, how many records remain uncataloged?
Answer: | Combined daily rate of A and B: 467 + 331 = 798 records per day
Records cataloged in 8 days together: 798 * 8 = 6384 records
Records cataloged by A alone in 3 days: 467 * 3 = 1401 records
Total records cataloged: 6384 + 1401 = 7785 records
Records remaining uncataloged: 13004 - 7785 = 5219 records
#### 5219 | tp_wordproblem | e73f1fecdd | general |
Question: Two archivists are working to index a collection of 18,058 documents. Archivist A can index 109 documents per day, while curator B can index 347 documents per day. If they work together for 7 days, and then Archivist A works alone for an additional 6 days, how many documents remain unindexed?
Answer: | Combined daily rate of A and B: 109 + 347 = 456 documents per day
Documents indexed in 7 days together: 456 * 7 = 3192 documents
Documents indexed by A alone in 6 days: 109 * 6 = 654 documents
Total documents indexed: 3192 + 654 = 3846 documents
Documents remaining unindexed: 18058 - 3846 = 14212 documents
#### 14212 | tp_wordproblem | e73f1fecdd | general |
Question: Two librarians are working to shelve a collection of 8,438 manuscripts. Librarian A can shelve 129 manuscripts per day, while cataloger B can shelve 122 manuscripts per day. If they work together for 4 days, and then Librarian A works alone for an additional 6 days, how many manuscripts remain unshelveed?
Ans... | Combined daily rate of A and B: 129 + 122 = 251 manuscripts per day
Manuscripts shelveed in 4 days together: 251 * 4 = 1004 manuscripts
Manuscripts shelveed by A alone in 6 days: 129 * 6 = 774 manuscripts
Total manuscripts shelveed: 1004 + 774 = 1778 manuscripts
Manuscripts remaining unshelveed: 8438 - 1778 = 6660 man... | tp_wordproblem | e73f1fecdd | general |
Question: Two librarians are working to shelve a collection of 5,332 books. Librarian A can shelve 159 books per day, while cataloger B can shelve 142 books per day. If they work together for 9 days, and then Librarian A works alone for an additional 8 days, how many books remain unshelveed?
Answer: | Combined daily rate of A and B: 159 + 142 = 301 books per day
Books shelveed in 9 days together: 301 * 9 = 2709 books
Books shelveed by A alone in 8 days: 159 * 8 = 1272 books
Total books shelveed: 2709 + 1272 = 3981 books
Books remaining unshelveed: 5332 - 3981 = 1351 books
#### 1351 | tp_wordproblem | e73f1fecdd | general |
Question: Two historians are working to shelve a collection of 12,579 records. Historian A can shelve 405 records per day, while scholar B can shelve 301 records per day. If they work together for 5 days, and then Historian A works alone for an additional 4 days, how many records remain unshelveed?
Answer: | Combined daily rate of A and B: 405 + 301 = 706 records per day
Records shelveed in 5 days together: 706 * 5 = 3530 records
Records shelveed by A alone in 4 days: 405 * 4 = 1620 records
Total records shelveed: 3530 + 1620 = 5150 records
Records remaining unshelveed: 12579 - 5150 = 7429 records
#### 7429 | tp_wordproblem | e73f1fecdd | general |
Question: Two librarians are working to index a collection of 14,903 documents. Librarian A can index 257 documents per day, while cataloger B can index 459 documents per day. If they work together for 10 days, and then Librarian A works alone for an additional 9 days, how many documents remain unindexed?
Answer: | Combined daily rate of A and B: 257 + 459 = 716 documents per day
Documents indexed in 10 days together: 716 * 10 = 7160 documents
Documents indexed by A alone in 9 days: 257 * 9 = 2313 documents
Total documents indexed: 7160 + 2313 = 9473 documents
Documents remaining unindexed: 14903 - 9473 = 5430 documents
#### 543... | tp_wordproblem | e73f1fecdd | general |
Question: Two researchers are working to catalog a collection of 16,483 records. Researcher A can catalog 392 records per day, while indexer B can catalog 382 records per day. If they work together for 1 days, and then Researcher A works alone for an additional 1 days, how many records remain uncataloged?
Answer: | Combined daily rate of A and B: 392 + 382 = 774 records per day
Records cataloged in 1 days together: 774 * 1 = 774 records
Records cataloged by A alone in 1 days: 392 * 1 = 392 records
Total records cataloged: 774 + 392 = 1166 records
Records remaining uncataloged: 16483 - 1166 = 15317 records
#### 15317 | tp_wordproblem | e73f1fecdd | general |
Question: Two researchers are working to shelve a collection of 11,336 manuscripts. Researcher A can shelve 432 manuscripts per day, while indexer B can shelve 379 manuscripts per day. If they work together for 7 days, and then Researcher A works alone for an additional 3 days, how many manuscripts remain unshelveed?
A... | Combined daily rate of A and B: 432 + 379 = 811 manuscripts per day
Manuscripts shelveed in 7 days together: 811 * 7 = 5677 manuscripts
Manuscripts shelveed by A alone in 3 days: 432 * 3 = 1296 manuscripts
Total manuscripts shelveed: 5677 + 1296 = 6973 manuscripts
Manuscripts remaining unshelveed: 11336 - 6973 = 4363 ... | tp_wordproblem | e73f1fecdd | general |
Question: Two archivists are working to process a collection of 15,572 books. Archivist A can process 207 books per day, while curator B can process 472 books per day. If they work together for 5 days, and then Archivist A works alone for an additional 8 days, how many books remain unprocessed?
Answer: | Combined daily rate of A and B: 207 + 472 = 679 books per day
Books processed in 5 days together: 679 * 5 = 3395 books
Books processed by A alone in 8 days: 207 * 8 = 1656 books
Total books processed: 3395 + 1656 = 5051 books
Books remaining unprocessed: 15572 - 5051 = 10521 books
#### 10521 | tp_wordproblem | e73f1fecdd | general |
Question: Two archivists are working to catalog a collection of 18,485 documents. Archivist A can catalog 119 documents per day, while curator B can catalog 423 documents per day. If they work together for 2 days, and then Archivist A works alone for an additional 2 days, how many documents remain uncataloged?
Answer: | Combined daily rate of A and B: 119 + 423 = 542 documents per day
Documents cataloged in 2 days together: 542 * 2 = 1084 documents
Documents cataloged by A alone in 2 days: 119 * 2 = 238 documents
Total documents cataloged: 1084 + 238 = 1322 documents
Documents remaining uncataloged: 18485 - 1322 = 17163 documents
###... | tp_wordproblem | e73f1fecdd | general |
Question: Two librarians are working to catalog a collection of 17,462 books. Librarian A can catalog 432 books per day, while cataloger B can catalog 326 books per day. If they work together for 3 days, and then Librarian A works alone for an additional 5 days, how many books remain uncataloged?
Answer: | Combined daily rate of A and B: 432 + 326 = 758 books per day
Books cataloged in 3 days together: 758 * 3 = 2274 books
Books cataloged by A alone in 5 days: 432 * 5 = 2160 books
Total books cataloged: 2274 + 2160 = 4434 books
Books remaining uncataloged: 17462 - 4434 = 13028 books
#### 13028 | tp_wordproblem | e73f1fecdd | general |
Question: Two archivists are working to index a collection of 11,814 books. Archivist A can index 456 books per day, while curator B can index 474 books per day. If they work together for 2 days, and then Archivist A works alone for an additional 2 days, how many books remain unindexed?
Answer: | Combined daily rate of A and B: 456 + 474 = 930 books per day
Books indexed in 2 days together: 930 * 2 = 1860 books
Books indexed by A alone in 2 days: 456 * 2 = 912 books
Total books indexed: 1860 + 912 = 2772 books
Books remaining unindexed: 11814 - 2772 = 9042 books
#### 9042 | tp_wordproblem | e73f1fecdd | general |
Question: Two researchers are working to catalog a collection of 6,851 documents. Researcher A can catalog 136 documents per day, while indexer B can catalog 230 documents per day. If they work together for 3 days, and then Researcher A works alone for an additional 2 days, how many documents remain uncataloged?
Answer... | Combined daily rate of A and B: 136 + 230 = 366 documents per day
Documents cataloged in 3 days together: 366 * 3 = 1098 documents
Documents cataloged by A alone in 2 days: 136 * 2 = 272 documents
Total documents cataloged: 1098 + 272 = 1370 documents
Documents remaining uncataloged: 6851 - 1370 = 5481 documents
#### ... | tp_wordproblem | e73f1fecdd | general |
Question: Two archivists are working to shelve a collection of 16,074 manuscripts. Archivist A can shelve 442 manuscripts per day, while curator B can shelve 195 manuscripts per day. If they work together for 4 days, and then Archivist A works alone for an additional 2 days, how many manuscripts remain unshelveed?
Answ... | Combined daily rate of A and B: 442 + 195 = 637 manuscripts per day
Manuscripts shelveed in 4 days together: 637 * 4 = 2548 manuscripts
Manuscripts shelveed by A alone in 2 days: 442 * 2 = 884 manuscripts
Total manuscripts shelveed: 2548 + 884 = 3432 manuscripts
Manuscripts remaining unshelveed: 16074 - 3432 = 12642 m... | tp_wordproblem | e73f1fecdd | general |
Question: Two researchers are working to index a collection of 9,992 books. Researcher A can index 188 books per day, while indexer B can index 389 books per day. If they work together for 4 days, and then Researcher A works alone for an additional 6 days, how many books remain unindexed?
Answer: | Combined daily rate of A and B: 188 + 389 = 577 books per day
Books indexed in 4 days together: 577 * 4 = 2308 books
Books indexed by A alone in 6 days: 188 * 6 = 1128 books
Total books indexed: 2308 + 1128 = 3436 books
Books remaining unindexed: 9992 - 3436 = 6556 books
#### 6556 | tp_wordproblem | e73f1fecdd | general |
Question: Two librarians are working to process a collection of 12,260 books. Librarian A can process 182 books per day, while cataloger B can process 332 books per day. If they work together for 7 days, and then Librarian A works alone for an additional 1 days, how many books remain unprocessed?
Answer: | Combined daily rate of A and B: 182 + 332 = 514 books per day
Books processed in 7 days together: 514 * 7 = 3598 books
Books processed by A alone in 1 days: 182 * 1 = 182 books
Total books processed: 3598 + 182 = 3780 books
Books remaining unprocessed: 12260 - 3780 = 8480 books
#### 8480 | tp_wordproblem | e73f1fecdd | general |
Question: Two researchers are working to shelve a collection of 9,087 documents. Researcher A can shelve 174 documents per day, while indexer B can shelve 281 documents per day. If they work together for 1 days, and then Researcher A works alone for an additional 6 days, how many documents remain unshelveed?
Answer: | Combined daily rate of A and B: 174 + 281 = 455 documents per day
Documents shelveed in 1 days together: 455 * 1 = 455 documents
Documents shelveed by A alone in 6 days: 174 * 6 = 1044 documents
Total documents shelveed: 455 + 1044 = 1499 documents
Documents remaining unshelveed: 9087 - 1499 = 7588 documents
#### 7588 | tp_wordproblem | e73f1fecdd | general |
Question: Two librarians are working to index a collection of 14,514 books. Librarian A can index 286 books per day, while cataloger B can index 265 books per day. If they work together for 8 days, and then Librarian A works alone for an additional 4 days, how many books remain unindexed?
Answer: | Combined daily rate of A and B: 286 + 265 = 551 books per day
Books indexed in 8 days together: 551 * 8 = 4408 books
Books indexed by A alone in 4 days: 286 * 4 = 1144 books
Total books indexed: 4408 + 1144 = 5552 books
Books remaining unindexed: 14514 - 5552 = 8962 books
#### 8962 | tp_wordproblem | e73f1fecdd | general |
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