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Homework Help: Prime Factorization Problem 4

  1. Oct 18, 2009 #1
    1. The problem statement, all variables and given/known data

    You bring the drinks for your soccer team every sixth game. Every third game is a home game. How many times will you bring the drinks to a home game if you have a 20 game season?

    2. Relevant equations
    i did the problem in my head, but I need to show my work to get the problem correct. I dont know how i would use factorization to solve this problem

    3. The attempt at a solution
    3 games
  2. jcsd
  3. Oct 18, 2009 #2
    I think you're right.

    Here's how I came up with that.

    You've got 20 total games.

    Every third game is a home game - that doesn't divide evenly into 20 and since you can't have a half of a game or a third of a game (unless this is some weird version of soccer), then that leaves us with 6 true home games, right? [The closest whole number of 20/3 is 18. 20/3 = 18 2/3 so ~ 18 full games.]

    Since you have to bring drinks every six games, then you have to bring drinks 3 times.

    Let's draw a chart:

    Game # ; Home / Away?; Drinks Y/N?

    1; A; N
    2; A; N
    3; H; N
    4; A; N
    5; A; N
    6; H; Y
    7; A; N
    8; A; N
    9; H; N
    10; A; N
    11; A; N
    12; H; Y
    13; A; N
    14; A; N
    15; H; N
    16; A; N
    17; A; N
    18; H; Y
    19; A; N
    20; A; N

    So yeah, 3 times.

    I don't know why I wrote that all out, since I don't have a good explanation as to why it is so...

    Blind leading the blind. Good luck!
  4. Oct 21, 2009 #3
    Hey there,
    What learnt from LearningMaths chart is that you bring drinks every 6th game isn't it and every 3rd game is a home game.
    .: total no. of home game=20/3=6(We won't consider the decimal part )
    so you see,
    6 games ,No. of drinks given=1
    ie. Every 2 home game ,No. of drinks given=1
    .: Every 1 home game ,No. of drinks given=1/2
    .: Every 6 home game ,No. of drinks given=1/2*6=3

    I think you get my point. But I dont know where the question of prime factorisation rises!!:confused:
    I wish i could have been of some help!!
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