Quinten and his friends cut a peach pie into 10 equal slices and a cherry pie into 15 equal slices. They ate 610

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

6
6

9
9

12
12

10

Answer 1

To find out how many slices of the cherry pie Quinten and his friends ate, we first need to determine what fraction of the peach pie they consumed.

The peach pie was cut into 10 equal slices, and they ate 6 slices of it. Thus, the fraction of the peach pie they ate is:

\[ \frac{6}{10} = \frac{3}{5} \]

Now, we will apply this same fraction to the cherry pie, which was cut into 15 equal slices.

To find out how many slices they ate from the cherry pie, we calculate:

\[ \frac{3}{5} \text{ of } 15 = \frac{3 \times 15}{5} = \frac{45}{5} = 9 \]

Therefore, they ate 9 slices of the cherry pie.

The answer is 9.