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Math Help - Venn Diagram Math

  1. #1
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    Venn Diagram Math

    A guidance counselor is planning schedules for 30 students. Sixteen students say they want to take French, 16 want to take Spanish, and 11 want to take Latin. Five say they want to take both French and Latin, and of these, 3 wanted to take Spanish as well. Five want only Latin, and 8 want only Spanish. How many students want French only?

    HOW CAN SOLVE THIS QUESTION USING VENN DIAGRAMS?
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  2. #2
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    Quote Originally Posted by symmetry View Post
    A guidance counselor is planning schedules for 30 students. Sixteen students say they want to take French, 16 want to take Spanish, and 11 want to take Latin. Five say they want to take both French and Latin, and of these, 3 wanted to take Spanish as well. Five want only Latin, and 8 want only Spanish. How many students want French only?

    HOW CAN SOLVE THIS QUESTION USING VENN DIAGRAMS?
    I accidentally said "Thanks" for this one?
    Unbelievable.

    Well, might as well practice on this.

    I cannot draw the Venn diagrams here, because I don't know how to draw by computer.

    There's the rectangular box with the 3 rings or circles inside the box. You should know them, if you studied Venn diagrams.

    The central space, the space where all 3 languages have a common space, there will be 3 students there.

    The space common to Latin and French, there will be 2 students.

    The space common to Latin and Spanish, there will be 1 student.

    Only Latin, 5 students.

    Only Spanish, 8 students.

    Common to Spanish and French, 4 students.

    Therefore, only French, 7 students --------------answer.
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  3. #3
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    ok

    Thank you very much for yourhelp.
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