At the beginning of last year, you purchased Delta Derivatives and Gamma Gum. The Delta Derivatives shares cost you $$16$ per share and paid $3\%$ in dividends for the year, while Gamma Gum shares cost you $$2$ per share and paid $1\%$ in dividends for the year. If you invested a total of $$1,200$ and earned $$28$ in dividends at the end of the year, how many shares of each company did you purchase?