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A pitcher contained 32 ounces of orange juice and 12 ounces of grapefruit juice more grapefruit juice was added to the pitcher until grapefruit juice represented 1/3 of the pitcher contents.how many ounces of grapefruit juice were added?

User Justinl
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2 Answers

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Final answer:

In total, 4 ounces of grapefruit juice were added to the pitcher to make grapefruit juice 1/3 of the total mixture.

Step-by-step explanation:

The question is asking how many ounces of grapefruit juice were added to a pitcher initially containing 32 ounces of orange juice and 12 ounces of grapefruit juice to make grapefruit juice 1/3 of the total mixture. To solve this, we assume x ounces of grapefruit juice are added. The total content of the pitcher will be 32 + 12 + x ounces. Since we want the grapefruit juice to be 1/3 of the total, we can set up the equation 1/3 (32 + 12 + x) = 12 + x. Simplifying the equation gives us 1/3 * (44 + x) = 12 + x. Multiplying through by 3 gives us 44 + x = 36 + 3x, which simplifies to 2x = 8. Therefore, x = 4 ounces. So, 4 ounces of grapefruit juice were added to the pitcher.

User Zongweil
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There are 10.666 ozs of orange juice and 21.3333 ozs. of grapefruit juice.

Your question isn't complete so I can only answer what you have up there.

User Inblues
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8.2k points
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