Question

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?

Answer 1

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