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You have a blue cooler with 10 liters of pure grape juice and an orange cooler with 10 liters of pure orange juice. After mixing and diluting, which is greater, the percentage of orange juice in the orange cooler or the percentage of grape juice in the blue cooler?

User Mawimawi
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1 Answer

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Final answer:

Without details on the amount of dilution, we cannot determine which percentage is greater; however, with equal dilution, the percentages remain the same. It is assumed that both coolers started with a 100% concentration of their respective juices.

Step-by-step explanation:

The question involves a comparison between two percentages: the percentage of orange juice in the orange cooler and the percentage of grape juice in the blue cooler after mixing and diluting. To solve this, it's important to understand the concept of concentration, which is the amount of solute (in this case, juice) in a given volume of solvent (water added for dilution). However, as the problem does not provide information about the amount of dilution that occurred, there is no basis for comparison.

If no additional water or other substances were added, then the percentage of each juice in their respective coolers would remain at 100% because each cooler still contains only its original juice. If both coolers had the same volume of water added to them, then the percentage of the original juice in each cooler would be the same because the proportion of dilution is identical. Without knowing the exact volume of dilution, a definitive comparison cannot be made.

User Jon Smark
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