SOLUTION: Candy invested $2500; part in a 5% investment and part in a 7% investment. If the interest on theinvestment is $160, how much eas invested at each rate?

Algebra ->  Linear-equations -> SOLUTION: Candy invested $2500; part in a 5% investment and part in a 7% investment. If the interest on theinvestment is $160, how much eas invested at each rate?      Log On


   



Question 179735: Candy invested $2500; part in a 5% investment and part in a 7% investment. If the interest on theinvestment is $160, how much eas invested at each rate?
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
let x and y be the amount invested at 5% and 7% respectively
:
x+y=2500...........eq 1
.05x+.07y=160......eq 2
:
rewrite eq 1 to x=2500-y and plug that value into eq 2
:
.05(2500-y)+.07y=160
:
125-.05y+.07y=160
:
.02y=35
:
highlight%28y=1750%29dollars invested at 7%
:
highlight%28x=2500-1750=750%29dollars invested at 5%