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Math Help - Venn Diagram Math

  1. #1
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    Venn Diagram Math

    In a student survey, 200 indicated that they would attend summer session 1 and 150 indicated that they would attend summer session 2. If 75 students plan to attend both summer sessions and 275 students indicated that they would attend neither session, how many students participated in the survey?

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  2. #2
    A riddle wrapped in an enigma
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    Quote Originally Posted by magentarita View Post
    In a student survey, 200 indicated that they would attend summer session 1 and 150 indicated that they would attend summer session 2. If 75 students plan to attend both summer sessions and 275 students indicated that they would attend neither session, how many students participated in the survey?
    Here's the diagram. Number students participating would be 275 + 200 + 150 - 75 = 550
    Attached Thumbnails Attached Thumbnails Venn Diagram Math-venn.bmp  
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  3. #3
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    Thanks but....

    Quote Originally Posted by masters View Post
    Here's the diagram. Number students participating would be 275 + 200 + 150 - 75 = 550
    Why did you include 275 in the addition process when the question said that 275 students "would attend neither session"?

    I'm a little confused.

    Thanks
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  4. #4
    A riddle wrapped in an enigma
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    Quote Originally Posted by magentarita View Post
    Why did you include 275 in the addition process when the question said that 275 students "would attend neither session"?

    I'm a little confused.

    Thanks
    The question was 'how many students participated in the survey'. Those 275 would have to have been polled in order to know that they intended not to attend either session. Don't you think?
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  5. #5
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    yes...

    Quote Originally Posted by masters View Post
    The question was 'how many students participated in the survey'. Those 275 would have to have been polled in order to know that they intended not to attend either session. Don't you think?
    Yes, I did not apply a little common sense, which is a great problem for most math students.
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