A Bank loaned out $12,000, part of it at the rate of 8% per year and the rest at the the rate of 18% per year. If the interest recieved totaled $1000, how much was loaned at 8%?

amount loaned at 8% interest is $11.60

Explanation:

given data

loan = $12,000

rate = 8% per year = 0.08

other rate = 18% per year = 0.18

interest receive = $1000

solution

we first consider here amount for loaned at 8% = x

so here amount for loaned at 18% will be = $12,000 - x

so we can say interest received equation will be here as

$1,000 = (0.08) x + (0.18) ($12,000 - x)

solve it we get

x = $11.600

so amount loaned at 8% interest is $11.60