How many cup of juice must be added to 30 cup of punch that is 8% grapefruit juice, to obtain a punch that is 10% grapefruit?

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How many cup of juice must be added to 30 cup of punch that is 8% grapefruit juice, to obtain a punch that is 10% grapefruit?

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Answer 1 · 2018-04-19T19:31:56

0.67 cups

Explanation:

#(8/100) * 30 = 2.4# cups

So the other components of the punch are going to remain constant. Therefore, you have #30-2.4# cups (#27.6# cups) of other components. #27.6# are #92%# of the current punch. You want them to be #90%#. Therefore, #x * (90/100) = 27.6#,

Therefore, #x = 27.6 * (100/90) = 30.67#. Therefore, the answer is #0.67# cups of grapefruit.

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How many cup of juice must be added to 30 cup of punch that is 8% grapefruit juice, to obtain a punch that is 10% grapefruit?

1 Answer

Explanation:

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