Question

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

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Answer 1

1.875 quarts of pure pineapple juice should Theo add to a 20% pineapple drink.

Step-by-step explanation

Suppose,
`x` quarts of pure pineapple juice should be added with 20% pineapple drink.

As the amount of the mixture is 5 quarts, so the amount of 20% pineapple drink will be:
`(5-x) quarts`

Percentage of juice in the pure pineapple juice is 100% and in the mixture is 50%

So, the equation will be.....

`1.00(x)+0.20(5-x)=0.50(5)\\ \\ 1.00x+1-0.20x=2.50\\ \\ 0.80x=2.50-1\\ \\ 0.80x= 1.50\\ \\ x=(1.50)/(0.80)=1.875`

So, 1.875 quarts of pure pineapple juice should Theo add to a 20% pineapple drink.