Pre calc question

Question

A bank loaned out $7100, part of it at a rate of 8.9% per year and the rest of it at a rate of 8% per year. The total amount of interest owed to the bank at the end of one year was $601.36.

Find the amount of money that the bank loaned out at 8.9%.

Round your answer to the nearest cent (2 places after the decimal point), and do NOT type a dollar sign in the answer box.

Amount of money loaned at 8.9%: $

Answer 1

x on 8.9%, (7100 - x) on 8%. We have 0.089x + 0.08(7100 - x) = 601.36; 0.089x - 0.08x = 601.36 - 568;

0.009x = 33.36; x = $3706.67