Question

A person invested $7000 for 1 year, part at 5%, part at 10%, and the remainder at 15%. The total annual income from these investments was $815. The amount of money invested at 15% was $200 more than the amount invested at 5% and 10% combined. Find the amount invested at each rate.

Answer 1

If x at 5%, y at 10%, then 200+x+y at 15%

x+y+200+x+y = 7000
.05x + .10y + .15(200+x+y) = 815

Now just solve for x and y, and then x+y+200