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 14%. If she has twice as much money invested at 10% as she has invested at 8%, three times as much at 14% as she has at 8%, and the total interest for the year is $455, how much is invested at each rate? ( Hint : Let x = the amount invested at 8%.)

A) $580 invested at 8% $1,160 invested at 10%
$1,740 invested at 14%
B) $650 invested at 8% $1,300 invested at 10%
$1,950 invested at 14%
C) $755 invested at 8% $1,510 invested at 10%
$2,265 invested at 14%
D) $710 invested at 8% $1,420 invested at 10%
$2,130 invested at 14%
E) $647 invested at 8% $1,294 invested at 10%
$1,941 invested at 14%