SOLUTION: Solve using two equations in two variables. Kathleen invested $5000, some at 6% and the rest at 5%. Her annual income from the investments is $280. How much is invested at 5%?

Question 547067: Solve using two equations in two variables.
Kathleen invested $5000, some at 6% and the rest at 5%. Her annual income from the investments is $280. How much is invested at 5%?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Solve using two equations in two variables.
Kathleen invested $5000, some at 6% and the rest at 5%. Her annual income from the investments is $280. How much is invested at 5%?
**
let x=amt invested at 6%
let y=amt invested at 5%
..
x+y=5000
.06x+.05y=280
x=5000-y
.06(5000-y)+.05y=280
300-.06y+.05y=280
.01y=20
y=20/.01=2000
ans:
$2000 is invested at 5%
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