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Math Help - Venn diagram help

  1. #1
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    Venn diagram help

    Could someone please help with this question. Using a venn diagram to answer the question.
    A survey of 53 lawyers showed that 10 played golf and tennis; 25 play bridge; 14 play bridge and tennis; 17 play golf and bridge; 9 play all three; 30 play golf; and 22 play tennis.

    How many of the lawyers play the following:
    bridge only___; exactly two of these games ____; bridge, but not tennis _____; golf or tennis, but not bridge _____
    Last edited by batman123; January 22nd 2006 at 01:57 PM.
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  2. #2
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    9
    Step 1 Fill the Center Intersection.
    1)9 Play All three.

    Step 2 Fill the Double Intersection.
    2)But 10 Play Golf and Tennis, thus, 1 play Golf and Tennis Only.

    3)But 14 Play Bridge and Tennis, thus, 5 play Bridge and Tennis Only.

    4)But 17 Play Golf and Bridge, thus, 8 play Golf and Bridge Only.

    Step 3 Fill the Single spaces.
    5)But 25 Play Bridge, thus, 3 play Bridge Only.

    6)But 30 Play Golf, thus, 12 play Golf Only.

    7)But 22 Play Tennis, thus, 7 play Tennis Only.

    Now you fill the Venn Diagram and answer the questions.
    Attached Thumbnails Attached Thumbnails Venn diagram help-venn.gif  
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