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Math Help - percentage

  1. #1
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    Exclamation percentage

    28% play basketball
    29% play baseball
    19% play soccer
    14% play bball and baseball
    12% play baseball and soccer
    10% play bball and soccer
    8% play all three

    How do i find the percentage that play NO sports? This is all the info given. Please do NOT give the answer.. I just need to know HOW to do it.
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  2. #2
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    Hello, carpark!

    28% play A
    29% play B
    19% play C
    14% play A and B
    12% play B and C
    10% play A and C
    8% play all three

    How do i find the percentage that play NO sports?
    Are you familiar with Venn diagrams?

    You can insert the given informiation into a 3-ring Venn diagram,
    . . and determine the total that play any sports.
    Then subtract from 100%.


    There is also a formula for finding the number in the union of three sets:

    n(A \cup B \cup C)
    . . . =\; n(A)+n(B)+n(C)-n(A\cap B)-n(B \cap C)-n(A \cap C)+n(A \cap B \cap C)

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  3. #3
    A riddle wrapped in an enigma
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    Quote Originally Posted by Soroban View Post
    Hello, carpark!

    Are you familiar with Venn diagrams?

    .
    I think the Venn diagram would look like this.
    Attached Thumbnails Attached Thumbnails percentage-venn.jpg  
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