Marion and Stefan played a game called "Go." Marion won five times the difference between the number of games Stefan won and the number four. If Marion won fifteen games, then how many games did Stefan win?

Respuesta :

Answer:

1 game

15/5=3

4-3=1

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Using a system of equations, it is found that Stefan won 7 games.

In our system, we have that:

  • x is the number of games Marion won.
  • y is the number of games Stefan won.

Marion won five times the difference between the number of games Stefan won and the number four, hence:

[tex]x = 5(y - 4)[/tex]

Marion won 15 games, hence [tex]x = 15[/tex], and:

[tex]15 = 5(y - 4)[/tex]

[tex]y - 4 = 3[/tex]

[tex]y = 7[/tex]

Stefan won 7 games.

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