SOLUTION: A chemist needs 160 milliliters of a 25% solution but has only 5% and 69% solutions available. Find how many milliliters of each that should be mixed to get the desired solution.
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Question 236811: A chemist needs 160 milliliters of a 25% solution but has only 5% and 69% solutions available. Find how many milliliters of each that should be mixed to get the desired solution.
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
A chemist needs 160 milliliters of a 25% solution but has only 5% and 69% solutions available. Find how many milliliters of each that should be mixed to get the desired solution.
.
Let x = liters of 5% solution
then
160-x = liters of 69% solution
.
.05x + .69(160-x) = .25(160)
.05x + 110.4 - .69x = 15
110.4 - .64x = 15
-.64x = -95.4
x = 149.0625 milliliters (5% solution)
.
69% solution:
160-x = 160-149.0625 = 10.9375 milliliters (69% solution)
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