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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 :

W0lf93
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.
InesWalston

Answer:

[tex]\boxed{\boxed{C.\ 90-10y=5x}}[/tex]

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,

[tex]=5x+10y[/tex]

But this is given as 90 miles, so

[tex]\Rightarrow 5x+10y=90[/tex]

[tex]\Rightarrow 5x=90-10y[/tex]

[tex]\Rightarrow 90-10y=5x[/tex]

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