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 LaTeX: x x represent the number of times she hiked the 5-mile trail, and let LaTeX: y 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?

Answer 1

5x + 10y = 90

Explanation:

If she hiked a total of 90 miles, we can say that 90 miles equals 10 multiplied by the number of times she hiked the 10 mile trail, plus 5 multiplied by the number of times she hiked the 5 mile trail.

x is the number of times she hiked the 5 mile trail, y is the number of times she hiked the 10 mile trail.

Writing this statement in an algebraic form would give us:

5x + 10y = 90.