SOLUTION: Sang invested some money at 8% interest. Sang also invested $184 more than 3 times that amount at 10%. How much is invested at each rate if Sang receives $1113.56 in interest after

Question 407283: Sang invested some money at 8% interest. Sang also invested $184 more than 3 times that amount at 10%. How much is invested at each rate if Sang receives $1113.56 in interest after one year? (Round to two decimal places if necessary.)
Answer by graphmatics(170) (Show Source): You can put this solution on YOUR website!
let x be the amount of money invested at 8% the 3*x+184 is the amount invested at 10%. The interest at 8% is .08*x. The interest at 10% is .10*(3*x+184). Since the sum of the interest is 1113.56 we get that
.08*x + .10*(3*x+184) = 1113.56
.08*x + .10*3*x + .10*184 = 1113.56
.38*x = 1113.56 - 18.4
x = 1131.96/.38
x = $2978.84
So the amount x invested at 8% is $2978.84 and the amount invested at 10% is
3*$2978.84 + $184 = $9120.56
RELATED QUESTIONS
Sang invested some money at 13% interest. Sang also invested $66 more than 3 times that... (answered by ikleyn)

Sang invested some money at 14% interest. Sang also invested $65 more than 4 times that... (answered by richwmiller)

"James invested some money at 10% interest. James also invested $90 more than 3 times... (answered by tehreem,MathTherapy)

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

George invested some money at 14% interest. George also invest $166 more than 3 times... (answered by ikleyn)

George invested some money at 10% interest. George also invested $169 more than 4 times... (answered by ikleyn)

George invested some money at 5% interest. George also invested $219 more than 4 times... (answered by jorel555)

Sally invested some money at 5% interest. sally also invested $66 more than three times... (answered by stanbon)

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