Math
posted by Janice on .
A juice concentrate containing 65% solids is added to a singlestrength juice solution(containing 15% solid), in order to generate a final product which contains 45% solids.
Calculate the amounts required for the concentrate and for the single strength solution to produce 100kg of product.

work with the amount of solids in each solution. The total amount must be the same at the end:
If x kg of 65% solution is used,
.65x + .15(100x) = .45(100)
.65x + 15  .15x = 45
.5x = 30
x = 60
So, 60kg of 65% + 40kg of 15% = 100kg of 45%