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

The equation that can be used is 90-10y=5x. In order to get this answer, you first start with figuring out how many miles total were hiked for each trail. The 5-mile mountain trail total would be equal to 5x and the 10-mile canal trail total would be 10y. Adding both of these totals together would give you 90 miles and an equation of 5x+10y=90. All you do now is rearrange the equation by subtracting 10y from each side and you get 90-10y=5x.

Answer 2

Answer:

$\boxed{\boxed{C.\ 90-10y=5x}}$

Step-by-step explanation:

Let us assume that

x represents the number of times she hiked the 5-mile trail,

y represents the number of times she hiked the 10-mile trail.

If Maria hiked 5-miles trail for x number of times, so distance hiked by her is 5x miles.

If Maria hiked 10-miles trail for y number of times, so distance hiked by her is 10y miles.

So the total distance hiked by her is the sum of both 5 mile and 10 mile trail, so total distance hiked by her is,

$=5x+10y$

But this is given as 90 miles, so

$\Rightarrow 5x+10y=90$

$\Rightarrow 5x=90-10y$

$\Rightarrow 90-10y=5x$