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,
[tex]1 \text{ lap } = \frac{1}{4} \text{ mile }[/tex]
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
[tex]1 \text{ lap } = \frac{1}{4} \text{ miles }\\\\\text{ x lap } = 15 \text{ miles }[/tex]
This forms a proportion and we can solve the sum by cross multiplying
[tex]x \times \frac{1}{4} = 15 \times 1\\\\x = 15 \times 4\\\\x = 60[/tex]
Thus 60 laps are needed to run 15 miles