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

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

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

Find the total distance of the 5-miles track hiked:

1 time = 5 miles

x times = 5x miles

Find the total distance of the 10-miles canal trail hiked:

1 time = 10 miles

y times = 10y miles

Find the total distance:

Total distance = 5x + 10y

Form equation:

Given that the total distance is 90 miles

5x + 10y = 90

5x = 90 - 10y

90 - 10y = 5x

Answer: (3) 90 - 10y = 5x

Answer 2

Hints are given in the question :

Let "x" represent the number of times she hiked the 5 mile trail .

Let "y" represent the number of times she hiked the 10 mile trail .

_______________________________

Finding the total distance of 5 - miles track trail

1 time = 5 miles

x times = 5x miles

________________________________

Finding the total distance of 10 - miles canal trail

1 time = 10 miles

y times = 10y miles

_________________________________

Total distance = 5x + 10y



Forming Equation -

Given total distance is 90 miles -

90 = 5x + 10y

5x = 90 - 10y

90 - 10y = 5x

$\bold{Answer: \: Option \: (3) \: 90-10y=5x}$