Solving system of algebraic equation word problem

Flora the florist found fifty fuchsia flowers. Timmy had too much timber twenty trees. Yolanda has thirty yams. Timmy needs twelve roses for his wife, five trees for a new porch and 5 yams for dinner. Flora needs twelve roses for her husband, a tree for a new bed frame and seven yams for her families dinner. Yolanda needs three roses for herself because she is a powerful independent women who loves herself, needs no trees because she rents a beautiful apartment and will need 5 yams for a dinner date with her partner. What Timmy needs costs $47, what Flora needs costs $31, what Yolanda needs costs $13. Fred is a investor who is looking to buy and sell extra goods, he can buy the excess goods and sell them each for $0.40 profit. Given each person's initial resources after all transactions have been made who made the most profit.