# Algebra: Word Problem - System of Equations

Three people play a game in which one person loses and two people win each game. The one who loses must double the amount of money that each of the other players has at that time. The three players agree to play three games. At the end of the three games, each player has lost one game and each has $8. What was the original stake of each player?

Please be specific in your response - thanks!

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#### Solution Preview

Solution. Denote these three people by A B and C. From what you provided, by symmetry, without loss of generality, we can assume that A loses in the first game, B loses in the second game and C loses in the third game. We can also assume that the ...

#### Solution Summary

A word problem is solved using systems of equations.

$2.19