Bank loan question

Question

A bank loaned out $22,000, part of it at the rate of 9% annual interest, and the rest at 12% annual interest. The total interest earned for both loans was $2,130.00. How much was loaned at each rate?

$

was loaned at 9% and

$

was loaned at 12%.

Answer 1

Let x and y be the two amounts.

x+y = 22000

.09x +.12y = 2130

y = 22000 - x

0.09x + 0.12(22000 -x) = 2130

0.09x + 2640 - 0.12x = 2130

-.03x = -510

x = $17000

y = $5000