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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?

Here is what is in the 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

Can you help me please? I've been trying to do this problem, but cant figure it out.

  • Math -

    band alone 11
    choir alone 17

    band and choir alone 4
    band and math alone 7
    math and choir alone 6

    band choir and math 3

    math alone 9 from 11+4+10+6+17 + M = 57
    2 classes = 4+7+6 = 17

  • Math -

    Math: 9

    Math and Band:7
    Math and Choir:6
    Choir and Band:4

    Math, Band, and Choir:3


    17 students take exactly two classes with Mr. Green.......boom your welcome

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