Question

Each time Cheryl runs, she runs 3 miles. She rides her bike only on Saturdays and always for 10 miles. She exercises the same amount each week. She rides and runs for a total of 22 miles in a week.

Write an equation that can be used to find out how many times
Cheryl goes running each week.

Answer 1

Step-by-step explanation:

To find out how many times Cheryl goes running each week, we can set up an equation based on the given information.

Let's assume Cheryl goes running x times in a week.

Each time Cheryl runs, she runs 3 miles. So, the total distance she runs in a week is 3 * x miles.

Cheryl rides her bike only on Saturdays, and she always rides for 10 miles. So, the total distance she rides her bike in a week is 10 miles.

The total distance Cheryl exercises in a week is given as 22 miles.

Therefore, we can set up the equation:

3x + 10 = 22

To solve this equation, we need to isolate the variable x.

First, we subtract 10 from both sides of the equation:

3x = 22 - 10

3x = 12

Then, we divide both sides of the equation by 3 to solve for x:

x = 12 / 3

x = 4

Therefore, Cheryl goes running 4 times each week.

Hope this helps!