SOLUTION: Mrs. Stevens invested a certain amount of money at 7% and twice that amount at 10%. If the combined annual income from both investments us $810, how much was invested at each rate.

Algebra.Com
Question 1018952: Mrs. Stevens invested a certain amount of money at 7% and twice that amount at 10%. If the combined annual income from both investments us $810, how much was invested at each rate.
Answer by fractalier(6550)   (Show Source): You can put this solution on YOUR website!
Call the amount of money invested at 7%, x.
Thus he invested 2x at 10%.
The setup looks like this
.07x + (.10)(2x) = 810
.07x + .20x = 810
.27x = 810
x = 810/.27 = $3000 at 7% and then
2x = $6000 at 10%

RELATED QUESTIONS

Trudy Waterbury, a financial planner, invested a certain amount of money at 9% annual... (answered by checkley71)
A man invested a certain amount of money at 6% and another amount twice as as much at 8%. (answered by Fombitz,MathTherapy)
Bruce Blossom invested a sum of money at 10% annual simple interest and invested twice... (answered by josmiceli)
A total of $7100 was invested as follows: a certain amount at 7%, twice that amount at... (answered by mananth)
Sally invested a certain amount of money at 5% and another amount twice as large at 6%... (answered by Theo)
Judy invests a certain amount of money at 7% annual interest and three times that amount... (answered by checkley71)
A financial planner invested a certain sum at 9%, twice that amount at 10%, and three... (answered by josgarithmetic)
A financial planner invested a certain sum at 9%, twice that amount at 10%, and three... (answered by ankor@dixie-net.com)
Arsing invested a certain amount at 8% and twice that amount at 10%. If the investment... (answered by ikleyn)