Math

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Mr. Green teaches band, choir, and math. This year, he has 57 students that take at least one of his classes. He teaches band to 25 students. There are 48 students who take either band or choir or both. There are 9 students who take both math and choir with Mr. Green. Use the Venn diagram below:

a. How many students take exactly 2 classes from Mr.Green?

Venn Diagram: There are 11 in the Band section
17 in the Choir section
7 in the Band AND Math section
And 3 in the Math, Band, AND Choir section

I'm have been stuck on this question and it's really stressing me out a bit, I just need some hints.

  1. Reiny

    Having the same problem using ONLY the top part data.
    Is the information in the Venn diagram given or did you somehow calculate those ?
    Why you say, "17 in the band section" , does that mean 17 ONLY in the band section ?

  2. Pal&Confidant

    18) You can make a stem-and-leaf plot as frequency table for "The chart below shows the average number of movies seen per person in selected countries. "

    0 / . 5
    1 / . 2 , . 3 , .3 , . 5
    2 / . 2 , . 2 , . 2
    3 / 0 , 0
    4 / .5

    19.) Mr. Green teaches band, choir, and math. This year, he has 57 students that take at least one of his classes. He teaches band to 25 students. There are 9 students who have Mr. Green for math and nothing else. Use the Venn diagram below: How many students take exactly 2 classes with Mr. Green?

    Answer: 26 students take exactly 2 classes check the work below.
    25 - ( 7 + 3 + 11) Use order of operations or pemdas
    25 - ( 21 ) = 4 ** students who take both Band and Choir

    Add 11 + 7 + 3 + 4 + 17 + 9 = 51

    Subtract 57 - 42 = 15***Students take Math and Choir

    Add 15 + 4 + 7 , these are the sections in the Venn Diagram where two circles share the same space.

    15 + 4 + 7 = 26 ***** ANSWER

    26 students take exactly two classes.



    20.) Another stem-and-leaf plot problem.
    | Percentage of
    Countries | Households with Color Television

    9| 3
    6| 9
    9| 5
    8| 8
    9| 4
    6| 4
    9| 2
    8| 8
    1| 00
    9| 1
    9| 7

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