SOLUTION: The radiator in Michelle’s car contains 16 L of antifreeze and water. This mixture is 30% antifreeze. How much of this mixture should she drain and replace with pure antifreeze s

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: The radiator in Michelle’s car contains 16 L of antifreeze and water. This mixture is 30% antifreeze. How much of this mixture should she drain and replace with pure antifreeze s      Log On

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Question 791489: The radiator in Michelle’s car contains 16 L of antifreeze and water. This mixture is 30% antifreeze. How much of this mixture should she drain and replace with pure antifreeze so that there will be a mixture of 50% antifreeze?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The volume will be the same before and after the adjustment.

Let v = amount to remove and replace, in liters
Let P = current 30% antifreeze
let T = target 10% antifreeze wanted after adjustment
let C = 16 L, radiator capacity and current volume of antifreeze solution present

highlight%28%28C%2AP-v%2AP%2Bv%2A100%29%2FC=T%29
Note that you add PURE antifreeze which is 100% antifreeze, and you add as much volume of this as the volume of the initial 30% antifreeze which is to be removed.

SOLVE FOR v.