I don't understand

Question

A bank loaned out $18,500, part of it at the rate of 9% annual interest, and the rest at 6% annual interest. The total interest earned for both loans was $1,335.00. How much was loaned at each rate?

$ was loaned at 9% and

$ was loaned at 6%.

Answer 1

Let

x is part of the loan with 9% interest and

y is part of the loan with 6^ interest.

We assume the time is 1 year.

We set a system we need to solve

Total loan is 18,500:

x = y = 18500

Total interest paid is 1,335:

0.09 x + 0.06 y = 1335

Solving the system above is left as an exercise.

If you need help with solving the above system, sent me a message.

(Answer: x = 7500, y = 11000).