SOLUTION: geraldine has twice as much money invested at 5% simple annual interest as she does 4%. if her yearly income from these two investments is 350$, how much does she have nvested?

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: geraldine has twice as much money invested at 5% simple annual interest as she does 4%. if her yearly income from these two investments is 350$, how much does she have nvested?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 275132: geraldine has twice as much money invested at 5% simple annual interest as she does 4%. if her yearly income from these two investments is 350$, how much does she have nvested?
Found 2 solutions by richwmiller, josmiceli:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
2x*.05+.04x=350
x=2500 at 4%
2x=5000 at5%
$7500 total invested

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let a=amount invested at 5%
Let b=amount invested at 4%
given:
(1) a+=+2b
(2) .05a+%2B+.04b+=+350
Substitute (1) in (2)
(2) .05%2A2b+%2B+.04b+=+350
.1b+%2B+.04b+=+350
.14b+=+350
b+=+2500
and
a+=+2b
2500+=+2b
b+=+1250
2500+%2B+1250+=+3750
She has $3750 invested