The distance of one lap around a school track is \frac{1}{4} mile. Sherrie walks 5 laps around the track. How many more laps must Sherrie walk to reach a total distance of 3.5 miles?

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Answer: Sherrie must walk 9 more laps.

Step-by-step explanation:

You know that one lap around the school track is [tex]\frac{1}{4}mile[/tex] or 0.25 miles.

Let be [tex]d_1[/tex] the distance in miles that Sherrie walks in 5 laps.

To calculate  [tex]d_1[/tex]   you need to multiply 0.25 miles by 5. Then:

[tex]d_1=(0.25miles)(5)\\d_1=1.25miles[/tex]

Let be  [tex]d_2[/tex] the distance left that Sherrie must walk to reach a total distance of 3.5 miles.

To calculate  [tex]d_2[/tex]  you need to subtract 3.5 miles and 1.25 miles. Then:

[tex]d_2=3.5miles-1.25miles\\d_2=2.25miles[/tex]

Let be [tex]x[/tex] the number of more laps that  she must walk to reach a total distance of 3.5 miles.

If she needs to walk 2.25 miles more to reach a total distance of 3.5 miles and 1 lap is 0.25 miles, then "x" is:

[tex]x=\frac{2.25miles}{0.25miles}\\\\x=9[/tex]

She must walk 9 more laps.

Answer:

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Step-by-step explanation: