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Math

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A team has won 60% of the games it has played so far. If the team wins the 15 remaining games in the season, it will have won 80% of the season's games. How many games will the team play over the entire season?

  • Math -

    X = # of games so far.
    X+15 = Total @ of games played.

    Gw = 0.6x + 15 = Total games won.
    Gp = X + 15 = Total games played.

    Gw/Gp = (0.6x+15) / (X+15) = 0.80.
    Cross multiply:
    0.8x + 12 = 0.6x + 15
    0.8x - 0.6x = 15 - 12
    0.2x = 3
    X = 15 Games.

    Gp = X + 15 = 15 + 15 = 30 Games.

  • Math -

    Let the number of played games in the first place be x. Total number of games is therefore x+15. Then 0.6x games were won in the first place. If the extra 15 will be won, then total games won is 0.6x+15=0.8(x+15). Solving this equation. Then solve for x in this equation. The final answer is therefore the value x add 15 (q.e.d)

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