SOLUTION: An actor invests some money at 5​%, and ​$22000 more than twice the amount at 11%. The total annual interest earned from the investment is ​$17540. How much did h

Algebra.Com
Question 1099048: An actor invests some money at 5​%, and ​$22000 more than twice the amount at 11%. The total annual interest earned from the investment is ​$17540. How much did he invest at each​ amount? Use the​ six-step method.
Answer by jorel1380(3719)   (Show Source): You can put this solution on YOUR website!
Let n and 2n+22,000 be the amounts invested at 5% and 11%, respectively. Then:
.05n+.11(2n+22,000)=17540
.05n+.22n+2420=17540
.27n=15120
n=56000
$56,000 was invested at 5%, and $134,000 was invested at 11%
☺☺☺☺

RELATED QUESTIONS

An actor invests some money at 8​%, and ​$22000 more than twice the amount at 12 %.... (answered by math_tutor2020)
An actor invests some money at 7​%, and ​$39000 more than twice the amount at (answered by addingup)
An actor invests some money at 9% and $22000 more than four times the amount at 12%. The... (answered by Boreal)
An actor invests some money at 6​%, and ​$35000 more than three times three... (answered by Boreal)
An actor invested some money at 8​% simple​ interest, and ​$47,000 more (answered by addingup)
An actor invested some money at 9​% simple​ interest, and ​$34000... (answered by ikleyn)
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 invests some money at 8%, and $38000 more than three times the amount at 11%.... (answered by lwsshak3,mananth)