Datasets:
| from fractions import Fraction | |
| total = Fraction(20) | |
| low, high, target = Fraction(1, 10), Fraction(3, 10), Fraction(18, 100) | |
| y = total * (target - low) / (high - low) | |
| x = total - y | |
| salt = low * x + high * y | |
| remaining = total - 2 | |
| assert x >= 0 and y >= 0 and x + y == total | |
| assert salt == total * target | |
| assert remaining - salt == total - salt - 2 | |
| result = {"low_kg": str(x), "high_kg": str(y), "final_salt_fraction": str(salt / remaining)} | |
| import json | |
| print(json.dumps(result, ensure_ascii=False, sort_keys=True)) | |