Part of $10,000 Is Invested at 9%, Another Part at 10

Multiple Choice

Part of $10,000 is invested at 9%, another part at 10%, and the remainder at 12% yearly interest. The total yearly income from the three investments is $1,075. The sum of the amounts invested at 9% and 10% equals the amount invested at 12%. How much is invested at each rate?

A) $2,500 at 9%, $2,500 at 10%, and $5,000 at 12%
B) $3,500 at 9%, $3,500 at 10%, and $4,000 at 12%
C) $1,500 at 9%, $3,500 at 10%, and $5,000 at 12%
D) $3,500 at 9%, $2,500 at 10%, and $4,000 at 12%
E) $1,500 at 9%, $1,500 at 10%, and $6,000 at 12%