Bill has 5 times as many baseball cards as Fred. Time has 3 fewer than 4 times as many baseball cards as Fred. In all they have 167 baseball cards. How many does each have?

Question

Bill has 5 times as many baseball cards as Fred.     Time has 3 fewer than 4 times as many baseball cards as Fred.     In all they have 167 baseball cards.     How many does each have?

espex · Answer

Fred=x $$5x+(4x-3)+x=167$$$$5x +x +4x-3=167 \rightarrow 10x=170 \rightarrow x=17$$ So Fred has 17 cards, Bill has 5 times Fred, (5 x 17), and Tim has ((4 x 17)-3)
Which means that:
Bill has 85 cards
Fred has 17 cards
Tim has 65 cards
85+17+65 = 167