A Stockbroker Has Money in Three Accounts

Multiple Choice

A stockbroker has money in three accounts. The interest rates on the three accounts are 8%, 10%, and 12%. If she has twice as much money invested at 10% as she has invested at 8%, three times as much at 12% as she has at 8%, and the total interest for the year is $384, how much is invested at each rate? ( Hint : Let x = the amount invested at 8%.)

A) $597 invested at 8% $1,194 invested at 10%, $1,791 invested at 12%
B) $660 invested at 8% $1,320 invested at 10%, $1,980 invested at 12%
C) $510 invested at 8% $1,020 invested at 10%, $1,530 invested at 12%
D) $735 invested at 8% $1,470 invested at 10%, $2,205 invested at 12%
E) $600 invested at 8% $1,200 invested at 10%, $1,800 invested at 12%