Part of $3,800 is invested at 12%, another part at 13%, and the remainder at 14%. The total yearly income from the three investments is $506. The sum of the amounts invested at 12% and 13% equals the amount invested at 14%. Determine how much is invested at each rate. 

A. $1,100 at 12%, $800 at 13%, $1,900 at 14%
B. $700 at 12%, $1,200 at 13%, $1,900 at 14%
C. $700 at 12%, $1,900 at 13%, $1,200 at 14%
D. $600 at 12%, $1,300 at 13%, $1,900 at 14%
E. $800 at 12%, $1,300 at 13%, $1,700 at 14%


Answer: B

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