venn diagram

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luvugodm

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May 17, 2007
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if I am doing a venn diagram I have 70 high school students some girls some boys some seniors some juniors. 30 students are girls 24 of the students are seniors but only 6 of the firls are seniors. if place 1 the number of students who are girls and seniors would be 6 right? area two they want the number of girls who ar not seniors would be 24 right? then I get stuck here area 3 they want the number of seniors who are not girls, and area 4 they want the number of students whor are boy juniors


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Hello, luvugodm!

There are 70 high school students: (girls, boys), (seniors, juniors).
30 students are girls; 24 students are seniors; 6 seniors girls.

In area #1 the number of students who are senior girls would be 6, right? .Right!
In area #2 the number of girls who ar not seniors would be 24, right? .Yes!

In area #3, write the number of senior boys.
In area #4, write the number of junior boys. .Just keep going . . .
Click to expand...
Code: 
      * - - - - - - - - - - - - - - - - - *
      |                                   |
      |     * - - - - - - - *             |
      |     |[2]Girls       |             |
      |     |       * - - - + - - - *     |
      |     |  24   |[1]    |       |     |
      |     |       |    6  |       |     |
      |     * - - - + - - - *  18   |     |
      |             |               |     |
      |             |     [3]Seniors|     |
      |             * - - - - - - - *     |
      |   [4]   22                        |
      * - - - - - - - - - - - - - - - - - *

There are 24 seniors.
If 6 of them are girls, the other 18 are boys. (area #3)

We have accounte for: \(\displaystyle \.6\,+\,24\,+\,18\:=\:48\) students.

The remaining \(\displaystyle 70\,-\,48\:=\:22\) are the junior boys. (area #4)

 
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