Part of $9,000 Is Invested at 11%, Another Part at 13

Multiple Choice

Part of $9,000 is invested at 11%, another part at 13%, and the remainder at 15% yearly interest. The total yearly income from the three investments is $1,210. The sum of the amounts invested at 11% and 13% equals the amount invested at 15%. Determine how much is invested at each rate, if 2,500 is invested at first rate.

A) $2,500 at 11%, $2,000 at 13%, and $4,500 at 15%
B) $3,000 at 11%, $1,000 at 13%, and $4,000 at 15%
C) $3,500 at 11%, $1,000 at 13%, and $4,500 at 15%
D) $3,000 at 11%, $2,000 at 13%, and $4,000 at 15%
E) $2,000 at 11%, $3,000 at 13%, and $3,500 at 15%