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Gabriella ran several laps around a 1/4-mile track. Then she ran 2 1/2 miles on a trail. In all, she ran 4 miles. Write and solve an equation to find l, the number of laps Gabriella ran.

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sqdancefan

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Answer:

  • 1/4×l +(2 1/2) = 4
  • l = 6

Step-by-step explanation:

For l laps around a 1/4 mile track, the total distance is ...

  l×(1/4)

After adding 2 1/2 miles to that, Gabriella's total distance was 4 miles:

  l×(1/4) +(2 1/2) = 4 . . . . an equation to find l

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We can solve this equation by subtracting 2 1/2, then multiplying by 4.

  l×(1/4) = 1 1/2

  l = 4(1 1/2)

  l = 6

Gabriella ran 6 laps on the track.

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