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?

Answer 1

Answer: 90 – 10y = 5x

Step-by-step explanation: First, we take the unknowns, how many times she hiked each trail, and make them into an equation. Y will represent the number of times she hiked the 10 mile trail, and x will represent how many times she hiked the 5 mile trail. That gives us 10y & 5x. Second, we take the known, the total of 90 miles, and add it into our unknown number equation. We will start with the known, putting 90 first, then we will subtract the total miles from an unknown, which will equal the second unknown according to the question. This gives us 90 - 10y = 5x OR 90 - 5x = 10y.

Answer 2

5x+10y=90

5 miles times each time she hiked x
plus 10 times each time she hiked y
equals 90 total miles