Results 1 to 4 of 4
Like Tree2Thanks
  • 1 Post By Plato
  • 1 Post By Plato

Thread: Sets for 4 segment

  1. #1
    Newbie
    Joined
    Mar 2017
    From
    Malaysia
    Posts
    6

    Sets for 4 segment

    Hello guyz.. Please help me with this question. I had done only three sets but this is difficult. TQ.
    Hope you all help me. I really appreciate it.

    This is the question.

    The Owner of a convenience store reports that of 890 people who bought bottled fruit juice in a recent week.
    750 bought orange juice
    400 bought apple juice
    100 bought grapefruit juice
    50 bought citrus punch.
    328 bought orange juice and apple juice
    25 bought orange juice and grapefruit juice
    12 bought orange juice and citrus punch.
    35 bought apple juice and grapefruit juice.
    8 bought apple juice and citrus punch.
    33 bought grapefruit juice and citrus punch.
    4 bought orange juice, apple juice and citrus punch.
    17 bought orange juice, apple juice and grapefruit juice.
    2 bought citrus punch, apple juice and grapefruit juice.
    9 bought orange juice, grapefruit juice and citrus punch.
    Determine the numbers of people who bought
    (a) all four kinds of juice.
    (b) grapefruit juice, but nothing else.
    (c) exactly two kinds of juice.
    (d) more than two kinds of juice.
    Draw the Venn diagram to represent each event.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Aug 2006
    Posts
    21,094
    Thanks
    2571
    Awards
    1

    Re: Sets for 4 segment

    Quote Originally Posted by aquhzie02 View Post
    Hello guyz.. Please help me with this question. I had done only three sets but this is difficult. TQ.
    Hope you all help me. I really appreciate it.

    This is the question.

    The Owner of a convenience store reports that of 890 people who bought bottled fruit juice in a recent week.
    750 bought orange juice
    400 bought apple juice
    100 bought grapefruit juice
    50 bought citrus punch.
    328 bought orange juice and apple juice
    25 bought orange juice and grapefruit juice
    12 bought orange juice and citrus punch.
    35 bought apple juice and grapefruit juice.
    8 bought apple juice and citrus punch.
    33 bought grapefruit juice and citrus punch.
    4 bought orange juice, apple juice and citrus punch.
    17 bought orange juice, apple juice and grapefruit juice.
    2 bought citrus punch, apple juice and grapefruit juice.
    9 bought orange juice, grapefruit juice and citrus punch.
    Determine the numbers of people who bought
    (a) all four kinds of juice.
    (b) grapefruit juice, but nothing else.
    (c) exactly two kinds of juice.
    (d) more than two kinds of juice.
    Draw the Venn diagram to represent each event.
    Use the letters $O,~A,~G,~\&~C$ to stand for who bought the particular flavor of juice.
    $ \begin{align*}\|O\cup A\cup G\cup C\|&=890.\text{ those bought at least one }\\\|C\|&=50\\\|A\cap G\|&=35\\\|O\cap G\cap C\|&=9 \end{align*}$

    Now use inclusion/exclusion:
    $\|O\cup A\cup G\cup C\|= \|O\|+ \|A\|+ \|G\|+\| C\|-\|O \cap A\|-\|O \cap G\|-\|O \cap C\|-\|A \cap G\|-\|A \cap C\|-\|G \cap C \|\\+\|O \cap A\cap G\|+\|O \cap A\cap C\|+\| A\cap G\cap C\|+\| Q\cap G\cap C\|-X$

    TO FINISH YOU must find all other parts. Then solve for $X$.
    Thanks from topsquark
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor

    Joined
    Aug 2006
    Posts
    21,094
    Thanks
    2571
    Awards
    1

    Re: Sets for 4 segment

    @aquhzie02, Please review what you have posted. I have worked with some of your data and found inconsistencies.
    It may just be a matter of translation.

    For example:
    1) Do you mean that 500 bought citrus?
    2) When it says "12 bought orange juice and citrus punch" does that mean only orange juice and citrus punch?
    3) When it says "9 bought orange juice, grapefruit juice and citrus punch." does that mean only all three? OR those 9 included in the 12 above?
    Thanks from topsquark
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Newbie
    Joined
    Mar 2017
    From
    Malaysia
    Posts
    6

    Re: Sets for 4 segment

    I already found the answer.. Thank you for your help.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Metric spaces, open sets, and closed sets
    Posted in the Differential Geometry Forum
    Replies: 4
    Last Post: Mar 16th 2011, 05:17 PM
  2. Replies: 9
    Last Post: Nov 6th 2010, 12:47 PM
  3. Arc Segment Area
    Posted in the Calculus Forum
    Replies: 4
    Last Post: Sep 20th 2010, 10:45 AM
  4. Segment
    Posted in the LaTeX Help Forum
    Replies: 1
    Last Post: Feb 26th 2009, 09:00 PM
  5. Segment of a Circle
    Posted in the Geometry Forum
    Replies: 2
    Last Post: Jan 9th 2009, 08:04 AM

/mathhelpforum @mathhelpforum