AnswersGA-Algebra Concepts and Connections CRWriting and Solving Equations in Two VariablesQuestion 4
4
QuizMultiple Choice

Writing and Solving Equations in Two Variables

Question 4 • GA-Algebra: Concepts and Connections CR

Last month Maria hiked a total of 90 miles on two trails: a 5-mile mountain trail and a 10-mile canal trail. Let x represent the number of times Maria hiked the mountain trail, and let y represent the number of times Maria hiked the canal trail.Which equation can be used to find the number of times Maria hiked each trail?

Answer
A
x + y = 90
B
5x – 10y = 90
C
90 – 10y = 5x
D
90 + 10y = 5x

Explanation

Each mountain-trail hike adds 5 miles, so x hikes contribute 5x miles. Each canal-trail hike adds 10 miles, so y hikes contribute 10y miles; together they total 90 miles: 5x + 10y = 90. Rearranging gives 90 − 10y = 5x, which is choice C.

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