Answered

At Westonci.ca, we connect you with the answers you need, thanks to our active and informed community. Connect with professionals on our platform to receive accurate answers to your questions quickly and efficiently. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

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


Sagot :

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.

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]