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%

Question

Quizplus · Accepted Answer

The total investment is $10,000, and the sum invested at 9% and 10% equals the amount invested at 12%, which means each of these portions is $5,000. The total interest is $1,075, which matches the distribution of $2,500 at 9%, $2,500 at 10%, and $5,000 at 12% when calculated.

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