Quinten and his friends cut a peach pie into 10 equal slices and a cherry pie into 15 equal slices. They ate 6/10

Question

of the peach pie. If they ate the same fraction of the cherry pie, how many slices of the cherry pie did they eat?(1 point)
Responses

10
10

6
6

9
9

12

Answer 1

To determine how many slices of the cherry pie they ate, we start with the given information.

Quinten and his friends ate \( \frac{6}{10} \) of the peach pie. Since the peach pie is cut into 10 equal slices, we can calculate the number of slices they ate:

\[ \frac{6}{10} \times 10 = 6 \text{ slices of peach pie} \]

Next, they ate the same fraction (\( \frac{6}{10} \)) of the cherry pie, which is cut into 15 equal slices. We can calculate how many slices of the cherry pie they ate by multiplying the total number of slices by the same fraction:

\[ \frac{6}{10} \times 15 = \frac{6 \times 15}{10} = \frac{90}{10} = 9 \text{ slices of cherry pie} \]

Thus, Quinten and his friends ate 9 slices of the cherry pie.

The correct answer is 9.