A person has $$41,000$ invested in stock A and stock $B.$ Stock A currently sells for $$50$ a share and stock $B$ sells for $$90$ a share. If stock $B$ triples in value and stock A goes up $50\%,$ his stock will be worth $$115,500.$ How many shares of each stock does he own?

The person owns $$ shares of stock A and shares of stock B$.$