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 ->  Customizable Word Problem Solvers  -> Finance -> 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      Log On

Ad: Over 600 Algebra Word Problems at edhelper.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) About Me  (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%