Question

Last month Maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. Let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. If she hiked a total of 90 miles, which equation can be used to find the number of times Maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

Answer 1

C

Explanation:

Answer 2

(C)90 – 10y = 5x

Explanation:

Given:

x = number of times she hiked the 5-mile trail

• Then, total Distance covered on the 5-mile trail =5x

y = number of times she hiked the 10-mile trail

• Then, total Distance covered on the 10-mile trail =10y

Maria hikes a total of 90 miles

Therefore, total distance hiked can be represented by the equation:

5x+10y=90

Subtract 10y from both sides, we have:

5x=90-10y

This is option C.