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))