You need to complete 15 math lessons. If you complete 3 1/2 math lessons today and 4 1/2 lessons per day after that, you can complete your lessons in 7 more days.

You need to complete 15 math lessons. If you complete 3 1/2 math lessons today and 4 1/2 lessons per day after that, you can complete the lessons in 3 more days.

You need to complete 15 math lessons. If you complete 4 1/2 math lessons today and 3 1/2 lessons per day after that, you can complete the lessons in 3 more days.

You need to complete 15 math lessons. If you complete 4 1/2 math lessons today and 3 1/2 lessons per day after that, you can complete the lessons in 4 more days.

In order to determine which statement is correct, we can set up an equation.

Let's say the number of days it takes to complete the lessons is represented by "x".

The number of lessons completed today: 3 1/2
The number of lessons completed after today: 4 1/2

So, the total number of lessons completed after today would be (4 1/2) * (x - 1), since there are only (x - 1) days after today.

Now we can create an equation using the given information:

3 1/2 + 4 1/2 * (x - 1) = 15

Simplifying the equation:

7/2 + 9/2 * (x - 1) = 15
7/2 + 9/2 * x - 9/2 = 15
9/2 * x - 2 = 15
9/2 * x = 17
x = 34/9

So, it would take approximately 34/9 days to complete the 15 math lessons.

Now we can check which statement is correct:

1. If it takes 34/9 days to complete the lessons, then it would take 7 more days. This statement is incorrect.

2. If it takes 34/9 days to complete the lessons, then it would take 3 more days. This statement is incorrect.

3. If it takes 34/9 days to complete the lessons, then it would take 3 more days. This statement is incorrect.

4. If it takes 34/9 days to complete the lessons, then it would take 4 more days. This statement is correct.

Therefore, the correct statement is: "You need to complete 15 math lessons. If you complete 4 1/2 math lessons today and 3 1/2 lessons per day after that, you can complete the lessons in 4 more days."