A chemist needs to add a solution of 5% acid to a solution of 20% acid to obtain a 24 oz solution of 10% acid.
How much of the 5% solution should he use
We have the following equation :
.05x + .20(24 - x) = .10 (24) multiply through by 100 to clear the decimals
5x + 20(24 - x) = 10 (24) simplify
5x + 480 - 20 x = 240
-15x + 480 = 240 subtract 480 from each side
-15x = - 240 divide both sides by -15
x = 16 ounces of the 5% solution
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