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Last month, Maria hiked a total of 125 miles on two trails: a 7-mile mountain trail and a 15-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. NOTE: In the bottom right corner of each question, you will see an option to check answer. Click this to check your answer before moving on to the next question. It will not tell you the correct answer, but it will tell you if the answer you selected is correct. You can use this feature twice per question.(3 points)

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To write the equation representing the total miles Maria hiked, you can express it in terms of \( x \) (the number of times she hiked the mountain trail) and \( y \) (the number of times she hiked the canal trail).

The distance she hiked on the mountain trail is \( 7x \) miles (since the mountain trail is 7 miles long) and the distance she hiked on the canal trail is \( 15y \) miles (since the canal trail is 15 miles long).

According to the problem, the total distance hiked by Maria is 125 miles.

Therefore, the equation can be expressed as:

\[ 7x + 15y = 125 \]

You can fill in the blanks as follows:

  1. For the mountain trail, write: \( 7x \)
  2. For the canal trail, write: \( 15y \)
  3. For the total miles, write: \( 125 \)

So the complete equation will be:

\[ 7x + 15y = 125 \]