Amount invested at 4 percent and 11 percent interest

Question

Jolene invests her savings in two bank accounts, one paying 4 percent and the other paying 11 percent simple interest per year. She puts twice as much in the lower-yielding account because it is less risky. Her annual interest is 3078 dollars. How much did she invest at each rate? 

Amount invested at 4 percent interest is $Incorrect 

Amount invested at 11 percent interest is $

Answer 1

.04L + .08H = 3078

.04(2H) +.08H = 3078

.08H +.08H = 3078

.16H = 3078

H = 3078/.16 = $19,237.50 invested at 8%

L= 2H = $38.475.00 invested at 4%

.04(38475) + .08(19237.5) = 1539 + 1539=3078

3078/(19237.5+38475)= .05333..= 5 1/3 % average rate of return on the total investments

4 is within 1 1/3 =4/3 of 5 1/3

8 is within 2 2/3 =8/3 of 5 1/3

(8/3)/(4/3) = 2 = 38475/19237.5