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Math Help - Word problem - Set up and solve

  1. #1
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    Word problem - Set up and solve

    Hi all,

    I'm new to this forum so please pardon if I make any forum etiquette mistakes. I've been struggling with this problem for an hour now and I just can't get the correct answer:

    The average height of the two forwards and center of a basektball team is 6 feet and 8 inches. What must the average height of the two guards be so that the team average is at least 6 feet and 4 inches.

    Can someone help me set this up? Thanks in advance.
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  2. #2
    MHF Contributor
    Grandad's Avatar
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    Averages

    Hello autumnafternoo
    Quote Originally Posted by autumnafternoon View Post
    Hi all,

    I'm new to this forum so please pardon if I make any forum etiquette mistakes. I've been struggling with this problem for an hour now and I just can't get the correct answer:

    The average height of the two forwards and center of a basektball team is 6 feet and 8 inches. What must the average height of the two guards be so that the team average is at least 6 feet and 4 inches.

    Can someone help me set this up? Thanks in advance.
    Work with totals. You know that

    • average height of player = \frac{\text{total height of players}}{\text{number of players}}

    Well, you can work that formula the other way round, so that it says:

    • total height of players = average height of player x number of players

    You know that three of the players have an average height of 6 feet 8 inches. So what is their total height?

    Then work out what the total height of all five players will have to be, if their average is going to be 6 feet 4 inches.

    Subtract your first answer from the second. Then divide by 2.

    OK now?

    Grandad
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  3. #3
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    Smile Thank you!

    I think I was over-thinking the problem. Thanks so much for your help!
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