Homework Help: algebra 1

Posted by samantha on Thursday, February 9, 2012 at 7:22pm.

Amanda invested a total of $3,600 into three separate accounts that pay 5%, 7%, and 9% annual interest. Amanda has four times as much invested in the account that pays 9% as she does in the account that pays 5%. If the total interest for the year is $282, how much did Amanda invest in each account?

algebra 1 - Steve, Thursday, February 9, 2012 at 9:33pm
let x be the amount at 5%
4x at 9%
3600-(x+4x) at 7%

.05x + .09*4x + .07(3600-5x) = 282
.05x + .36x + 252 - .35x = 282
.06x = 30
x = 500

so, she has

500 at 5%
2000 at 9%
1100 at 7%

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