Last month, Maria hiked the 5-mile mountain trail a number of times, and she hiked the 10-mile canal trail several times. Let [tex]x[/tex] represent the number of times she hiked the 5-mile trail, and let [tex]y[/tex] 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?
A. [tex]x + y = 90[/tex]
B. [tex]5x - 10y = 90[/tex]
C. [tex]90 - 10y = 5x[/tex]
D. [tex]90 + 10y = 5x[/tex]
Answer (3)
C . 90 − 10 y = 5 x ;
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.
The equation that represents the total distance Maria hiked is 90 − 10 y = 5 x , where x is the number of times she hiked the 5-mile trail and y is the number of times she hiked the 10-mile trail. This equation is derived from the total distance of 90 miles. Thus, the correct answer is option C.
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