A​ student's tuition was 3997 ​$. A loan was obtained for 8​/7 of the tuition. How much was the​ loan?

3 answers

To find the amount of the loan, we can use the proportion:

(Tuition) / (Loan) = 7 / 8

Let's solve for the loan amount, L.

3997 / L = 7 / 8

Cross-multiplying, we get:

8 * 3997 = 7 * L

31976 = 7L

Dividing both sides by 7 to isolate L, we have:

L = 31976 / 7

L ≈ 4568

Therefore, the loan amount is approximately $4568.
double check
I apologize for the confusion. Let me recalculate the loan amount to double-check.

The loan amount is calculated by multiplying the tuition by 8/7:

Loan amount = 3997 * (8/7)

Loan amount ≈ $4568.14

Therefore, the corrected loan amount is approximately $4568.14.