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19 July, 13:00

Alyssa's team won 5 out of every 7 games this season. If the team played 28 games this season, how many games did they win?

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  1. 19 July, 13:07
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    Alyssa's team won 20 games.

    Step-by-step explanation:

    We can introduce a variable that represents how many games Alyssa's team won.

    Let x represent how many games Alyssa's team won.

    We can now create a expression, we know that her team won 5 out of 7 games which would be equivalent to the fraction 5/7. We also know her team has played 28 games and five sevenths (5/7) of those they won.

    This would give us the expression 5/7 = x/28.

    We need to do this because 5/7 is equivalent to x the numbers of games they won over 28 the number of games they played.

    Solving for 5/7 = x/28 we have:

    5/7 = x/28

    We need to isolate x on the right side to do so we can multiply both sides by 28.

    5/7 * 28 = x/28*28 simplifying

    20 = x.

    Therefore the number of games Alyssa's team won is 20 games.
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