Jolene invests her savings in two bank accounts, one paying 6 percent and the other paying 10 percent simple interest per year. she puts twice as much in the lower-yielding account because it is less risky. her annual interest is 7502 dollars. how much did she invest at each rate?

She invested $34100 at 10% and $68200 at 6%.

Steps:

Let x1 be the amount invested at 6%, x2 the amount at 10%

After one year the simple interest is amount * (interest rate).

The total interest after one year:

7502 = x1 * 0.06 + x2 * 0.10

and we know that x1 = 2*x2

7502 = 2* x2 * 0.06 + x2 * 0.10 = 0.22 * x2

x2 = 34100

x1 = 2*34100=68200

the answer to the expression is 83