SOLUTION: eva invested a certain amount of money at 8% interest and 1600 dollars more than that amount at 12%. her total yearly interest was 805 dollars. how much did she invest at each rate

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Question 1094413: eva invested a certain amount of money at 8% interest and 1600 dollars more than that amount at 12%. her total yearly interest was 805 dollars. how much did she invest at each rate
Found 2 solutions by Theo, addingup:
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
let x equal the amount invested at 8%.

let x + 1600 equal the amount invested at 12%.

.08 * x + .12 * (x + 1600) = 805

simplify to get .08 * x + .12 * x + .12 * 1600 = 805

combine like terms and simplify further to get .2 * x + 192 = 805

subtract 192 from both sides to get .2 * x = 805 - 192

simplify to get .2 * x = 613.

divide both sides fo .2 to get x = 3065

that's your solution.

she invested 3065 at 8% and 4665 at 12% to earn 245.2 + 559.8 = 805.


Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
certain amount at 8%: x
the other at 12%: x+1600
-----------------------------
0.08x + 0.12(x + 1600) = 805
0.08x + 0.12x + 192
0.20x + 192 = 805
x = 3,065 <-- this is the amount invested at 8%
3,065 + 1,600 = 4,665 this is the amount at 12%
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Check:
3,065 * 0.08 = 245.20
4,665 * 0.12 = 559.80
. . . . . . . _______
Total . . . .= 805 Correct