Question

Last month maria high 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 Y represent the number of times she hi the 10 mile trail. If she had a total of 90 miles, which equation can be used to find the number of times maria hiked each trail?

Answer 1

Alright, lets get started.

Maria hiked the 5 mile Mountain Trail a number of times and she hiked the 10 mile canal trail several times.

x times she hiked 5 mile mountain.

So, number of mils she hiked for 5 miles will be = 5 x

Similarly,

y times she hiked 10 mile canal,

So, number of miles she hiked for canal = 10 y

So, total number of miles she hiked = $5 x +10 y$

But as per question given,  she had a total of 90 miles

It means

$5x + 10 y = 90$

Dividing this equation with 5

$x + 2 y = 18$

So, the equation is $x + 2 y = 18$ :   Answer

Hope it will help :)