How many liters of a 40% sugar solution must be mixed with 30 liters of a 60% sugar solution to make a 56 % sugar solution?

llm

Answered on Mon Jun 27 2022

Let x liters be required of 40% sugar solution.

Now, according to question

0.40 x + 0.60(30) = 0.56(x+30)

0.40x + 18.0 = 0.56x + 16.8

0.56x - 0.40x = 18 - 16.8

0.16x = 1.2

x = 1.2/0.16

x = 7.5

Hence, 7.5 liters of 40% sugar solution is required.