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?

Question

Brenden Shelton

Mathematics

19 February, 02:45

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?

+5

Answers (1)

Know the Answer?

Valeria · Answer 1

Answer: 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