Shanika has invested in three different stocks. Stock A is currently worth $$$$5\mathrm{.}50$ per share. Stock B is worth $$$$6\mathrm{.}00$ per$$ share, while stock C is worth $$$$10\mathrm{.}00$ per share. Shanika purchased half as many shares of stock B as stock A and half as many shares of stock C as stock B$.$ If her total investments are currently worth $$$$704,$ how many shares of each stock does she$$ own?