# algebra

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how many quarts of pineapple juice should Theo add to a 20% pineapple drink to create 5 quarts of a 50% pineapple juice mixture?

• algebra -

In 5 quarts of 50% mixture, there are 2.5 quarts of water.

The amount of 20% drink that contains 2.5 quart of water is 2.5/(1-0.20) = 3.125 quarts.

So Theo will need 1.875 quarts of pure pineapple juice, and 3.125 quarts of 20% drink to make 5 quarts of 50% mixture.

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