SOLUTION: Could this be shown how I would put in equation form? And what the answers would be. I think I may be making this worse than it is? A person invests $36,000, partly at 5%, partl

Question 277712: Could this be shown how I would put in equation form? And what the answers would be. I think I may be making this worse than it is?
A person invests $36,000, partly at 5%, partly at 6%, and the remainder at 6.5%. The total annual interest is $2,190. Three times the amount invested at 6% equals the amount invested at 5% and 6.5% combined. How much is invested at each rate?
Thanks!
Confused
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
let x="amount @ 5%", y="amount @ 6%", and z="amount @ 6.5%"

x + y + z = 36000

x(5%) + y(6%) + z(6.5%) = 2190

3y = x + z

substituting ___ (3y) + y = 36000 ___ y = 9000

x + z = 27000

x(5%) + z(6.5%) = 1650

you can find x and z using the last 2 equations
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