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

3 answers

Quinten and his friends ate \( \frac{6}{10} \) of the peach pie.

To find the number of slices they ate from the cherry pie, we first need to determine how many slices \( \frac{6}{10} \) represents in the cherry pie.

Since the cherry pie is cut into 15 slices, we can calculate the fraction of the cherry pie they ate, which is also \( \frac{6}{10} \).

Now, find \( \frac{6}{10} \) of the 15 slices of the cherry pie:

\[ \frac{6}{10} \times 15 = \frac{6 \times 15}{10} = \frac{90}{10} = 9 \]

Thus, they ate \( 9 \) slices of the cherry pie.

The answer is \( 9 \).

Bagel Emporium burned 10% of the total amount of bagels produced on Saturday. If 208 bagels were burned, how many bagels did they produce in total on Saturday?(1 point) Responses 208 bagels 208 bagels 21 bagels 21 bagels 2,080 bagels 2,080 bagels 20,080 bagels 20,080 bagels

Let \( x \) be the total number of bagels produced on Saturday. According to the problem, 10% of the total bagels were burned, which is given as 208 bagels.

We can set up the equation:

\[ 0.10x = 208 \]

To find \( x \), we can divide both sides by 0.10:

\[ x = \frac{208}{0.10} = 2080 \]

Thus, the total number of bagels produced on Saturday is \( 2,080 \) bagels.

The answer is \( 2,080 \) bagels.