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30 September, 14:28

At the end of the season, little billy's baseball team has a record of 7 wins and 5 losses. little billy's best buddy bobby's team has a record of 8 wins and 4 losses. the worst team in the league has twice as many losses as wins. if there are only 4 teams in the league, and no games are played with any other teams but league teams, in what position did little billy's team finish?

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  1. 30 September, 14:39
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    Position 02.

    Explanation:

    Each of the 04 teams have 12 games, hence a pair from one team plays the other four times. There are six possibilities of forming a pair in all the four teams, so in all 6x4=24 games were played among the teams. This also means that there is a possibility of 24 wins and 24 losses in all the four teams.

    First team = 7 W and 5 L

    Second team = 8 W and 4 L

    Worst team = 12 games = W + L (From twice as many losses as wins we know 2W = L)

    12 = W + 2W

    12 = 3W

    W = 4 and L = 8

    For last team:

    W = 24

    W = 7 W + 8 W + 4 W + X = 24

    19 W + X = 24 W

    X = 5 W

    Hence Billy's team is second
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