if i get 6 lessons a day and have 80 lessons overdue with 8 days of school left. How many lessons do i have to do a day to get caught up before it ends.

You have a total of 6 x 8 = 48 lessons left during the next 8 days.

To catch up with the 80 overdue lessons, you need to do 80 + 48 = 128 lessons.
Therefore, you need to do 128/8 = 16 lessons per day to get caught up before it ends.

To calculate the number of lessons you need to do each day to get caught up before school ends, follow these steps:

Step 1: Determine the total number of lessons remaining in the school year.
Total number of lessons remaining = 6 lessons/day × 8 days = 48 lessons

Step 2: Subtract the number of lessons you are already behind from the total number of lessons remaining.
Lessons you need to catch up = Total number of lessons remaining - Number of lessons overdue = 48 lessons - 80 lessons = -32 lessons

Since the result is negative (-32 lessons), it means that you have completed more lessons than needed. Consequently, you do not need to do any additional lessons to get caught up before the school year ends.

To determine how many lessons you need to do each day in order to get caught up before school ends, we need to calculate the total number of lessons you need to complete and divide it by the number of days you have left.

First, let's calculate the total number of lessons you need to complete. You mentioned that you have 80 lessons overdue. Since you are getting 6 lessons a day, and the number of days you have left is 8, you can find the total number of lessons by multiplying the number of lessons per day by the number of days left: 6 lessons/day * 8 days = 48 lessons.

Now, subtract the number of lessons you have already completed (80 lessons overdue) from the total number of lessons you need to complete (48 lessons) to find the additional lessons you need to do: 48 lessons - 80 lessons = -32 lessons.

Note that we have a negative value for the additional lessons. This means that you have completed more lessons than necessary to catch up. In other words, you are already ahead of your schedule. Therefore, you do not need to do any additional lessons to get caught up before school ends.

In this scenario, you are actually ahead of schedule by 32 lessons. You can either take a break or use the remaining days to review and reinforce your knowledge in the subject.