Question
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.
Fill in the blanks to write the equation for the total number of miles Maria hiked.
(3 points)
10, x, 5, 90, x + 10 y, 10, x, 5 = y, 10, 90, 5
Fill in the blanks to write the equation for the total number of miles Maria hiked.
(3 points)
10, x, 5, 90, x + 10 y, 10, x, 5 = y, 10, 90, 5
Answers
GPT-4o mini
To write the equation for the total number of miles Maria hiked, we need to express the total distance in terms of the number of times she hiked each trail.
Let:
- \( x \) = number of times Maria hiked the mountain trail (5 miles each time)
- \( y \) = number of times Maria hiked the canal trail (10 miles each time)
The total miles hiked can be expressed as the sum of the miles from both trails:
\[
5x + 10y = 90
\]
So, if we fill in the blanks in the provided structure, it would look like this:
**5**, \( x \), **10**, \( y \), **90**, **5x + 10y** = 90.
Let:
- \( x \) = number of times Maria hiked the mountain trail (5 miles each time)
- \( y \) = number of times Maria hiked the canal trail (10 miles each time)
The total miles hiked can be expressed as the sum of the miles from both trails:
\[
5x + 10y = 90
\]
So, if we fill in the blanks in the provided structure, it would look like this:
**5**, \( x \), **10**, \( y \), **90**, **5x + 10y** = 90.