SOLUTION: An actor invested some money at 8​% simple​ interest, and ​$47,000 more than three times the amount at 11%. The total annual interest earned from the investment w

Algebra.Com
Question 1067263: An actor invested some money at 8​% simple​ interest, and ​$47,000 more than three times the amount at 11%. The total annual interest earned from the investment was ​$52,320. How much did he invest at each​ amount?
Answer by addingup(3677)   (Show Source): You can put this solution on YOUR website!
some money: x
three times the amount: 3x. Add 47,000: 3x+47,000
0.08x+(0.11(3x+47,000) = 52,320
0.08x+0.33x+5170 = 52.320
0.41x = 47150
x = 115,000 is the amount invested at 8%
3(115,000)+47,000 = 392,000 is the amount invested at 11%

RELATED QUESTIONS

An actor invested some money at 7​% simple​ interest, and ​$26 comma... (answered by ikleyn)
An actor invested some money at 6​% simple​ interest, and ​$44,000 more (answered by Boreal)
An actor invested some money at 9​% simple​ interest, and ​$34000... (answered by ikleyn)
An actor invests some money at 6​%, and ​$35000 more than three times three... (answered by Boreal)
An actor invests some money at 5​%, and ​$22000 more than twice the amount at (answered by jorel1380)
Santiago receives ​$309 per year in simple interest from three investments. Part is (answered by stanbon)
An actor invests some money at 7​%, and ​$39000 more than twice the amount at (answered by addingup)
A person invested ​$8200 for 1​ year, part at 8​%, part at 9​%,... (answered by ikleyn)
An actor invested some money at 9% simple interest,and $42,000 more than four times the... (answered by ikleyn)