She is to invest $150,000 in the low risk found at 9%
She is to invest $50,000 in the high risk found at 13%
Let x = money invested at 9%
Let y = money invested at 13%
x+y = 200000
.09x + .13 y = 20000
since
x = 200000-y
then
.09(200000-y) +.13y = 20000
18000-.09y+.13y = 20000
.04 y = 20000
y = 50000
then
x = 200,000-50000 =150000