3 The Hawks soccer team played a total of 24 games. They won 6 more games than they lost, and they tied 2 games. How many games did they win?

Respuesta :

They won 14 games. If you subtract 2 ( the ties ) you are left with 22. Subtract 6 ( games more won than loss) you get 16. Then divide by two and get 8. 8 + 6 = 14.

Answer:

14 games.

Step-by-step explanation:

Let x represent number of games lost by Hawks.

We have been given that the Hawks won 6 more games than they lost. So number of games won by Hawks would be [tex]x+6[/tex].

We have been given that they played a total of 24 games and tied in 2 games, so total game won or lost by Hawks would be [tex]24-2=22[/tex].

Now we will equate sum of games won and lost by 22 as:

[tex]x+x+6=22[/tex]

[tex]2x+6=22[/tex]

[tex]2x+6-6=22-6[/tex]

[tex]2x=16[/tex]

[tex]\frac{2x}{2}=\frac{16}{2}[/tex]

[tex]x=8[/tex]

Number of games won by Hawks would be [tex]x+6\Rightarrow 8+6=14[/tex]

Therefore, Hawks won 14 games.

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