Lilliana is training for a marathon. She
runs the same distance every day for a week. On Monday, Wednesday,
and Friday, she runs 3 laps on a running trail and then runs 6 more miles.
On Tuesday and Sunday, she runs 5 laps on the trail and then runs 2 more
miles. On Saturday, she just runs laps. How many laps does Lilliana run on Saturday?
I got:
3x +6 = 5x + 2
-3x -3x
6= 2x + 2
-2= -2
4= 2x
2= x
but what I don't get is why Lilliana runs 6 laps on Saturday..
help explain this part and thank you.
same every day?
3L+6=5L+2
2L=4
L=2 miles
so each day she does 12 miles, how many laps is that on Saturday?
To find out how many laps Lilliana runs on Saturday, we need to analyze the given information. The problem states that Lilliana runs the same distance every day for a week, except on Saturday, where she only runs laps.
However, the number of laps she runs on each day is not explicitly mentioned. Instead, the problem provides the number of laps she runs on Monday, Wednesday, and Friday, as well as Tuesday and Sunday. Now, we can use this information to figure out the number of laps she runs on Saturday.
First, let's identify the relevant information:
- Monday, Wednesday, and Friday: Lilliana runs 3 laps on the trail and then runs 6 more miles.
- Tuesday and Sunday: Lilliana runs 5 laps on the trail and then runs 2 more miles.
- Saturday: Lilliana only runs laps.
From this, we can deduce that Lilliana has a consistent pattern of running laps and additional miles on the other days.
To solve the problem, we can focus on the given equation: 3x + 6 = 5x + 2, where x represents the number of laps Lilliana runs on Saturday.
By rearranging the equation:
3x - 5x = 2 - 6
-2x = -4
x = -4 / -2
x = 2
Hence, x = 2, which means Lilliana runs 2 laps on Saturday, based on the equation and the calculations.
Therefore, she runs 2 laps on Saturday.
According to the given information, Lilliana runs the same distance every day for a week. On Monday, Wednesday, and Friday, she runs 3 laps on the running trail and then runs 6 more miles. On Tuesday and Sunday, she runs 5 laps on the trail and then runs 2 more miles. And on Saturday, she just runs laps.
However, there is no specific information about the number of laps Lilliana runs on Saturday. It seems that the information you have provided does not mention the number of laps she runs on Saturday. Therefore, we cannot determine the exact number of laps she runs on that day based on the given information.
It is possible that there may be missing or incomplete information in the problem statement. Without additional information, we cannot accurately determine the number of laps Lilliana runs on Saturday.