Question

A 25% sugar solution is added to a 50% sugar solution to obtain 500 litters of a 40% solution. How many liters of the 25% solution should be added?

Answers

  1. The volume of the 25% sugar solution needed is 200 liters.

    Volume of the 25% solution that should be added

    Let the volume of the 25% solution that should be added = x
    set up the equation as follows;
    x(0.25) + 0.5(500 – x) =  500(0.4)
    solve for x as shown below;
    0.25x + 250 – 0.5x = 200
    -0.25x = 200  – 250
    -0.25x = -50
    x = 50/0.25
    x = 200 Liters
    Thus, the volume of the 25% sugar solution needed is 200 liters.
    Learn more about sugar solutions here: https://brainly.com/question/21654166
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