# Math

A juice concentrate containing 65% solids is added to a single-strength 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.

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1. 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(100-x) = .45(100)
.65x + 15 - .15x = 45
.5x = 30
x = 60

So, 60kg of 65% + 40kg of 15% = 100kg of 45%

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2. Great

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