Question

7th grade math need asap. Lilliana is training for a marathon. She runs the same distance every day for a week. On Monday, Wednesday, and Friday, she runs 2 laps on a running trail and then runs 6 more miles. On Tuesday and Sunday, she runs 4 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:

5 Laps

Step-by-step explanation:

The question says that she runs the same distance everyday. This shows us that...

2 laps on a running trail and 6 more miles = 4 laps on a running trail and 2 more miles

We can turn laps into the variable L and miles into the variable M to create an equation

2 L + 6 M = 4 L + 2 M

We can start by subtracting 2 M from both sides to get:

2 L + 4 M = 4 L

Now, we can subtract 2 L from both sides

4 M = 2 L

This tells us that 2 laps are 4 miles which means that 1 lap is 2 miles.

Now, we can break down either side of the equation. Let's break down

2 L + 6 M

First, we can turn the miles into laps. We know that 2 miles is one lap so we can divide 6 by 2. Our Equation:

2 L + 3 L

Now, we can simplify this :

5 L

Now we know that she ran 5 laps on saturday.

Hope this Helps!!! :)

Let me know in the comments if this answer was perfect or if I should change anything!!!