A woman invests a total of $20,000 in two accounts, one paying 3% and the other paying 5.5% simple interest per year. Her annual interest is$750. How much did she invest at each rate?

let she invested $ x at 3% and $y at 5.5%

therefore , x+y = 20000 -----------(1)

0.03x+.055y = 750 ------(2)

multiplying 0.03 in eq 1 we get

0.03x +0.03y = 600 -----------A

Subtracting A from 2 we get

0.025y = 150

y = 6000

therefore x = 14000

ANswer : 3% $6000

5.5% $14000

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