Question

Sarabeth ran 1 2/5 miles on a path around the park. This was 5/8 of the distance around the park. What is the distance around the park.

Answer 1

To find the distance around the park, set up a proportion using the given information. Cross multiply and solve for x to find the distance.

Step-by-step explanation:

To find the distance around the park, we can set up a proportion using the given information. We know that Sarabeth ran 1 2/5 miles, which is equal to 7/5 miles, and this distance represents 5/8 of the total distance around the park. Let's call the total distance x. The proportion we can set up is:

7/5 miles / x = 5/8

To solve for x, we can cross multiply:

7/5 * 8 = 5 * x

Simplifying:

56/5 = 5x

Dividing both sides by 5:

56/5 / 5 = x

Calculating:

x = 56/25

Therefore, the distance around the park is 56/25 miles.

Answer 2

5/8 ------------------------- 7/5 miles
1/8 ------------------------- 7/5÷5 = 7/25 miles
8/8 ------------------------- 7/25 x 8 = 56/25 = 2.24 miles