SOLUTION: Sarah has $2000 more invested at 8.5% than she does at 9.75%. Both investments are simple interest rates. If the annual return from each investment is the same, how much is investe

Question 456727: Sarah has $2000 more invested at 8.5% than she does at 9.75%. Both investments are simple interest rates. If the annual return from each investment is the same, how much is invested at each rate?
(I know how to calculate if given the return. However, without return I'm confused. I attempted plugging the number 2 - as both returns are the same - in on the other side of the equation but that didn't work).
Thanks.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Sarah has $2000 more invested at 8.5% than she does at 9.75%.
Both investments are simple interest rates.
If the annual return from each investment is the same, how much is invested at each rate?
:
Let x = amt invested at 9.75%
then
(x+2000) = amt invested at 8.5%
:
.0975x = .085(x+2000)
solve for x
RELATED QUESTIONS
Ashley has twice as much money invested at 5% simple annual interest as she does at 4%.... (answered by mananth)

Joan Arlington has twice as much money invested at 5% simple annual interest as she does... (answered by richwmiller)

Karen walsh has twice as much money invested at 5% simple annual interest as she does at... (answered by mananth)

Melissa invested a sum of money at 3% annual simple interest. She invested three times... (answered by checkley75)

Melissa invested a sum of money at 3% annual simple interest. She invested three times... (answered by mananth)

if 4100 is invested at 5% annual simple interest how much should be invested at 8% annual (answered by ewatrrr)

melissa invested a sum of money at 3% annual simple interest. she invested three times... (answered by richwmiller)

If $2000 is invested at 10% simple annual interest, how much should be invested at 12%... (answered by MRperkins)

I need help in this problem, thank you. If $2000 is invested at 10% simple annual... (answered by ReadingBoosters)