Question

Lilliana is training for a marathon. She runs the same distance every day for a week. On Monday,
Wednesday, and Friday, she runs 4 laps on a running trail and then runs 6 more miles. On Tuesday and
Sunday, she runs 6 laps on the trail and then runs 2 more miles. On Saturday, she just runs laps. How
many laps does Lilliana run on Saturday?

Answer 1

Answer:

7

Step-by-step explanation:

Let's call x the amount of miles that equal a lap.

So on Monday Wednesday and Friday, she runs 4x + 6 miles.

On Tuesday and Sunday she runs 6x + 2 miles.

And the problem says that she runs the same distance every day, so that means that

4x + 6 = 6x + 2

Now we solve that equation:

4x + 6 = 6x + 2

6 = 6x + 2 - 4x

6 - 2 = 6x - 4x

4 = 2x

x = 2

After that we choose either 4x + 6 or 6x + 2 to calculate the distance she runs on per day by replacing the x with a 2.

4(2) + 6 = 14

6(2) + 2 = 14

Finally we just divide the amount of miles (14) by the amount of miles per lap (2).

14/2 = 7 laps