Alice puts money into two accounts, one with 2% annual interest and another with 3% annual interest. She invests 3 times as much in the higher yielding account as she does in the lower yielding account. If her total interest for the year is $27.50, how much did she invest in each account?

Answer 1

amount invested at lower rate --- $x
amount invested at higher rate ---$ 3x

.02x + .03(3x) = 27.50
times 100
2x + 9y = 2750
11x = 2750
x = 250

so she invested $250 at 2%, and $750 at 3%

check:
.02(25) + .03(750) = 27.5