Question

You have invested $5000 in stocks and bonds. The interest you earned on the stocks was 7%. The interest you earned on the bonds was 14%. At the end of the year, you earned a total of $500 from your investments. How much money did you invest in the stocks and how much money did you invest in the bonds?

Answer 1

Money invested S + B = $5000 - - - - (a)
Money earned can be represented in S & B as follows:
0.07*S + 0.14*B =$500 - - - - (b)

Equations a & b are two equations with two unknowns.

From equation a:
S = 5000 - B
Replace S in equation b
0.07*(5000 - B) + 0.14*B =$500
0.07B = 500 - 350 = $150
B = 150/0.07 = $2142.86
S = 5000 - 2142.86 = $2857.14

Good luck