SOLUTION: A certain amount is invested at 9% and 12,000 more than that amount is invested at 10%. How much is invested at each rate if the total income is 10,130?

Question 724128: A certain amount is invested at 9% and 12,000 more than that amount is invested at 10%. How much is invested at each rate if the total income is 10,130?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
A certain amount is invested at 9% and 12,000 more than that amount is invested at 10%. How much is invested at each rate if the total income is 10,130?
.
Let x = amount ($) invested at 9%
then
x+12000 = amount ($) invested at 10%
.
.09x + .10(x+12000) = 10130
.09x + .10x+1200 = 10130
.19x+1200 = 10130
.19x = 8930
x = 8930/.19
x = $47000 (invested at 9%)
.
Amount invested at 10%:
x+12000 = 47000+12000 = $59000

RELATED QUESTIONS
Chary invested an amount at 12% and twice as much at 9%. Her annual interest at 9% is... (answered by josgarithmetic)

Mary makes three invetments. The investment that pays 12% is twice the amount o the... (answered by checkley77)

Sherrie invested some money at 14% interest. Sherrie also invested $186 more than 2... (answered by josmiceli)

An amount of money is invested at 3% and $2000 more is invested at 4%. If the interest... (answered by fractalier)

different amounts are invested at 10%, 11%, and 12% yearly interest. the amount invested... (answered by josmiceli,MathTherapy,josgarithmetic,ikleyn)

George invested some money at 5% interest. George also invested $165 more than 5 times... (answered by scott8148)

James invested some money at 6% interest. James also invested $209 more than 3 times that (answered by mananth)

Sang invested some money at 13% interest. Sang also invested $66 more than 3 times that... (answered by ikleyn)

Mary Auburn makes three investm,ents. The investment that pays 12% is twice the amount of (answered by ankor@dixie-net.com)