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Julio is running 1/4 mile laps on a track. In order to run 15 miles, how many laps should Julio run?

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60 laps are needed to run 15 miles

Solution:

Julio is running 1/4 mile laps on a track

To find: Number of laps needed to run 15 miles

From given,


1 \text{ lap } = (1)/(4) \text{ mile }

Total miles to be ran = 15 miles

Thus, number of laps needed to run 15 miles is found by multiplying total miles to be ran by miles needed for 1 lap

Let "x" be the laps needed to run 15 miles


1 \text{ lap } = (1)/(4) \text{ miles }\\\\\text{ x lap } = 15 \text{ miles }

This forms a proportion and we can solve the sum by cross multiplying


x * (1)/(4) = 15 * 1\\\\x = 15 * 4\\\\x = 60

Thus 60 laps are needed to run 15 miles

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