algebra 1
posted by samantha on .
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?

let x be the amount at 5%
4x at 9%
3600(x+4x) at 7%
.05x + .09*4x + .07(36005x) = 282
.05x + .36x + 252  .35x = 282
.06x = 30
x = 500
so, she has
500 at 5%
2000 at 9%
1100 at 7%