Gordon and his aunt Beth are trying to recreate his grandma's famous blueberry-peach cobbler. They remember the cobbler tasting more like blueberries than peaches, but they can't remember exactly how much of each type of fruit to use. Gordon uses 1 cup of blueberries and 4 cups of peaches in his cobbler. Aunt Beth uses 2 cups of blueberries and 5 cups of peaches in her cobbler. Whose cobbler will taste more like blueberries?

Question

A. Gordon's cobbler will taste more like blueberries.
B. Aunt Beth's cobbler will taste more like blueberries.
C. Neither. The cobblers will taste the same.

Answer 1

To determine whose cobbler will taste more like blueberries, we can calculate the ratio of blueberries to the total amount of fruit used in each cobbler.

Gordon's Cobbler:

• Blueberries: 1 cup
• Peaches: 4 cups
• Total fruit: 1 + 4 = 5 cups
• Ratio of blueberries: \( \frac{1}{5} = 0.2 \) or 20%

Aunt Beth's Cobbler:

• Blueberries: 2 cups
• Peaches: 5 cups
• Total fruit: 2 + 5 = 7 cups
• Ratio of blueberries: \( \frac{2}{7} \approx 0.2857 \) or about 28.57%

Now we compare the two ratios:

• Gordon's cobbler has a blueberry ratio of 20%.
• Aunt Beth's cobbler has a blueberry ratio of approximately 28.57%.

Since 28.57% is greater than 20%, Aunt Beth's cobbler will taste more like blueberries.

Thus, the answer is: B. Aunt Beth's cobbler will taste more like blueberries.