SOLUTION: Ling invested some money at 5% interest. Ling also invested $196 more than 3 times that amount at 11%. How much is invested at each rate if Ling receives $1005.76 in interest after

Question 982836: Ling invested some money at 5% interest. Ling also invested $196 more than 3 times that amount at 11%. How much is invested at each rate if Ling receives $1005.76 in interest after one year? (Round to two decimal places if necessary.)
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Ling invested some money at 5% interest.
Ling also invested $196 more than 3 times that amount at 11%.
How much is invested at each rate if Ling receives $1005.76 in interest after one year? (Round to two decimal places if necessary.)
:
let x = amt invested at 5%
" Ling also invested $196 more than 3 times that amount at 11%." therefore
(3x+196) = amt invested at 11%
:
.05x + .11(3x+196) = 1005.76
.05x + .33x + 21.96 = 1005.76
.38x = 1005.76 - 21.96
x = 984.20/.38
x = $2590 invested at 5%
then
3(2590) + 196 = $7966 invested at 11%
:
:
Confirm this solution
.05(2590) + .11(7966) = 1005.76
RELATED QUESTIONS
Ling invested some money at 9% interest. Ling also invested $66 more than 2 times that... (answered by solver91311)

Ling invested some money at 7% interest. Ling also invested $137 more than 3... (answered by addingup)

Ling invested some money at 7% interest. Ling also invested $74 more than 4 times that... (answered by mananth)

Jarvis invested some money at 14% interest. Jarvis also invested $223 more than 3 times (answered by jorel1380)

Jarvis invested some money at 5% interest. Jarvis also invested $152 more than 3 times... (answered by Theo)

Jarvis invested some money at 14% interest. Jarvis also invested $190 more than 2 times... (answered by stanbon)

James invested some money at 14% interest. James also invested $54 more than 2 times that (answered by josmiceli)

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

Sally invested some money at 14% interest. Sally also invested $207 more than 5 times... (answered by Fombitz)