Question

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?

Answer 1

Answer: Sherrie must walk 9 more laps.

Step-by-step explanation:

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

Let be $d_1$ the distance in miles that Sherrie walks in 5 laps.

To calculate  $d_1$   you need to multiply 0.25 miles by 5. Then:

$d_1=(0.25miles)(5)\\d_1=1.25miles$

Let be  $d_2$ the distance left that Sherrie must walk to reach a total distance of 3.5 miles.

To calculate  $d_2$  you need to subtract 3.5 miles and 1.25 miles. Then:

$d_2=3.5miles-1.25miles\\d_2=2.25miles$

Let be $x$ 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:

$x=\frac{2.25miles}{0.25miles}\\\\x=9$

She must walk 9 more laps.