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:

$(\frac{8}{100}) \cdot 30 = 2.4$ $(8/100) * 30 = 2.4$ cups

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

Therefore, $x = 27.6 \cdot (\frac{100}{90}) = 30.67$ $x = 27.6 * (100/90) = 30.67$ . Therefore, the answer is $0.67$ $0.67$ 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

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