Part of $8,000 is invested at 12%, another part at 14%, and the remainder at 16% yearly interest. The total yearly income from the three investments is $1,170. The sum of the amounts invested at 12% and 14% equals the amount invested at 16%. How much is invested at each rate? 

A. $1,500 at 12%, $2,500 at 14%, and $4,000 at 16%
B. $2,000 at 12%, $2,000 at 14%, and $3,500 at 16%
C. $2,000 at 12%, $2,000 at 14%, and $4,000 at 16%
D. $2,000 at 12%, $2,500 at 14%, and $3,500 at 16%
E. $1,000 at 12%, $3,000 at 14%, and $3,500 at 16%


Answer: A

Mathematics

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