Quinten and his friends cut a peach pie into 10 equal slices and a cherry pie into 15 equal slices. They ate 610 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 9 9 6 6 10 10 12 12

Answer 1

To find out how many slices of cherry pie they ate, we first need to determine the fraction of the peach pie that was eaten.

Quinten and his friends cut a peach pie into 10 equal slices and they ate 6 slices of it.

The fraction of the peach pie eaten is: \[ \text{Fraction of peach pie eaten} = \frac{6 \text{ slices}}{10 \text{ slices}} = \frac{3}{5} \]

Now, we will apply the same fraction to the cherry pie, which has 15 equal slices.

To find out how many slices of cherry pie they ate, we take: \[ \text{Slices of cherry pie eaten} = \frac{3}{5} \times 15 \]

Calculating this gives: \[ \text{Slices of cherry pie eaten} = 3 \times 3 = 9 \]

Therefore, the number of slices of cherry pie they ate is 9.