Answer:
[tex]4l=8\cdot 12[/tex]
Step-by-step explanation:
Let l represent number of miles ran by Pierre each day.
We have been given that Pierre runs the same around a track each day 4 days a week. So number of laps ran is 4 days would be [tex]4l[/tex].
We are also told that he runs a total of 12 miles each week and it takes 8 laps of the track to equal a mile. So number of laps in 12 miles would be 8 times 12.
Now, we will equate total laps ran in 4 days by 8 times 12 as:
[tex]4l=8\cdot 12[/tex]
Therefore, we can use the equation [tex]4l=8\cdot 12[/tex] to find how many laps Pierre runs each day.
Let us solve for l as:
[tex]\frac{4l}{4}=\frac{8\cdot 12}{4}[/tex]
[tex]l=2\cdot 12[/tex]
[tex]l=24[/tex]
Therefore, Pierre runs 24 laps each day.
