A bank loaned out $18,000, part of it at the rate of 6% per year and the rest at 16% per year. If the interest received in one year totaled $2000, how much was loaned at 6%?

$6500

Step-by-step explanation

x = amount ($) loaned at 6%

then

18000-x = amount ($) loaned at 14%

.06x + .14(18000-x) = 2000

.06x + 2520-.14x = 2000

2520-.08x = 2000

-.08x = -520

x = $6,500

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation: