Question

last month maria hiked a total of 90 miles on two trails: a 5 - mile mountain trail and a 10 - mile canal trail. let x represent the number of times maria hiked the mountain trail, and let y represent the number of times maria hiked the canal trail. 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 \\)

Explanation:

Step1: Analyze total miles from each trail

The mountain trail is 5 miles, and Maria hiked it \( x \) times, so total miles from mountain trail: \( 5x \). The canal trail is 10 miles, hiked \( y \) times, so total miles from canal trail: \( 10y \). Total miles hiked is 90, so \( 5x + 10y = 90 \).

Step2: Rearrange the equation

Rearrange \( 5x + 10y = 90 \) to solve for \( 5x \): Subtract \( 10y \) from both sides: \( 90 - 10y = 5x \).

Answer:

\( 90 - 10y = 5x \) (the third option)