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.

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

so

2 classes = 4+7+6 = 17

17 students take exactly two classes with Mr. Green

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 ?

Ayanna is that correct? Does anyone have all the answers

To find the number of students who take exactly 2 classes from Mr. Green, you need to consider the overlapping regions in the Venn diagram.

First, find the number of students who take only band and math classes. To do this, subtract the number of students in the Band AND Math AND Choir section (3) from the number of students in the Band AND Math section (7). So, 7 - 3 = 4 students take only band and math classes.

Next, find the number of students who take only choir and math classes. To do this, subtract the number of students in the Band AND Math AND Choir section (3) from the number of students in the Choir AND Math section. Since the diagram does not provide the specific number for the Choir AND Math section, you will need to calculate it.

To calculate the number of students in the Choir AND Math section, subtract the number of students in the Band AND Choir AND Math section (3) from the number of students in the Choir AND Math OR Band section. Since the diagram states that there are 48 students who take either band or choir or both, and we know that the total number of students taking at least one class is 57, we can use this information to find the number of students in the Choir AND Math OR Band section.

Let's assume x represents the number of students in the Choir AND Math OR Band section. Since the total number of students taking at least one class is 57, we can write the equation:

48 + x = 57

Solving for x, we get:

x = 57 - 48
x = 9

So, there are 9 students in the Choir AND Math OR Band section.

Now, subtract the number of students in the Band AND Choir AND Math section (3) from the number of students in the Choir AND Math OR Band section (9). So, 9 - 3 = 6 students take only choir and math classes.

Finally, add the number of students who take only band and math classes (4) and the number of students who take only choir and math classes (6). So, 4 + 6 = 10 students take exactly 2 classes from Mr. Green.

these were my asnwers dont get mad at me

A
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B
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D
A
B
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B
A
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B

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