With How Much Money Did Each Start the Game?Date: 04/24/2002 at 22:06:50 From: John Sorci Subject: Math word problems Ferne, Donna, and Susan have just finished playing three games. There was only one loser in each game. Ferne lost the first game, Donna lost the second game, and Susan lost the third game. After each game, the loser was required to double the money of the other two. After three rounds, each woman had $24.00. How much did each have at the start of the game? Date: 04/25/2002 at 10:43:25 From: Doctor Ian Subject: Re: Math word problems Hi John, Have you tried working through it backward? Susan lost the third game, and she had to double what Ferne and Donna had. They ended up with $24, which means that they had $12 before that, and Susan ended up with $24, which means she had $48 before that, since she had to give $12 each to Ferne and Donna: Game 3 ---------- Ferne: $12 -> $24 Donna: $12 -> $24 Susan: $48 -> $24 Donna lost the second game, so Susan must have started with $24 to end up with $48; and Ferne must have started with $6 to end up with $12: Game 2 Game 3 ---------- ---------- Ferne: $6 -> $12 $12 -> $24 Donna: ? -> $12 $12 -> $24 Susan: $24 -> $48 $48 -> $24 We know that Donna ended up with $12, so how much did she have to have at the beginning of this game? You can follow the same strategy to figure out what happened during the first game. Does this help? - Doctor Ian, The Math Forum http://mathforum.org/dr.math/ |
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