A retired woman has $200,000 to invest. she has chosen one relatively safe investment fund that has an annual yield of 9% and another, riskier fund that has a 13% annual yield. how much should she invest in each fund if she would like to earn $20,000 per year from her investments?

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