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Every summer, Ronald makes cranberry-pear jam with the fruit he collects from his garden. Last summer, he used 3 cups of cranberries and 5 cups of pears to make his jam. This summer, Ronald decided to make an even larger batch using 5 cups of cranberries and 8 cups of pears. Which batch of jam tasted more like cranberries?

Question

Every summer, Ronald makes cranberry-pear jam with the fruit he collects from his garden. Last summer, he used 3 cups of cranberries and 5 cups of pears to make his jam. This summer, Ronald decided to make an even larger batch using 5 cups of cranberries and 8 cups of pears. Which batch of jam tasted more like cranberries?

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Solution

To determine which batch of jam tasted more like cranberries, we need to calculate the ratio of cranberries to total fruit in each batch.

For the first batch: The total amount of fruit is 3 cups of cranberries + 5 cups of pears = 8 cups. The ratio of cranberries to total fruit is therefore 3/8.

For the second batch: The total amount of fruit is 5 cups of cranberries + 8 cups of pears = 13 cups. The ratio of cranberries to total fruit is therefore 5/13.

Comparing these ratios, 3/8 is greater than 5/13. Therefore, the first batch of jam tasted more like cranberries.

This problem has been solved

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