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# A radiator contains 10 quarts of fluid, 30% of which is antifreeze.

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A radiator contains 10 quarts of fluid, 30% of which is antifreeze. How much fluid should be drained and replaced with pure antifreeze so that the new mixture is 40% antifreeze?

##### Solution Summary

This solution is comprised of a detailed explanation to answer how much fluid should be drained and replaced with pure antifreeze so that the new mixture is 40% antifreeze.

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Let the amount we have to drain be denoted as x.
let y be the total volume of the mixture (in our case 10 quarts)

We start with a mixture of 0.7y quarts water and 0.3y quarts AF.

When we drain x ...

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