Hello! I am not asking for the answer to this question, I am asking for a step-by-step explanation.
Mr. Green 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:
3 circles interloping; Top is Math - it is empty. Bottom Left is Band - The number 11 is in the center. Bottom Right is Choir - The number 17 is in the center. In the "space" between Math and Band, there is the number 7. In the space between Math, Band and Choir, there are 3. Just in case, here is the link to the picture. (couldn't paste link, so there are spaces between the periods just copy and paste into browser without spaces between periods) lh3 . googleusercontent . com/_MwGscmMM8z3rWMgB3x1qHXwjdQdK0Cbh5Putu2gwVw8kGOi_H094VCBAE7uhLK6JJFV4g=s103
How many students take exactly 2 classes with Mr. Green?
Thanks for all the help!
4 answers
Since the band circle must have a total of 25, and we have already
(11+7+3) or 21 entered in the Venn diagram, the missing part of Band and Choir must be 4
So label the math-only part 9 and the intersection of Math and Choir as x (only the part of Math and Choir, not including the intersection in the middle)
Now all the fields are filled in.
But we know that the total is 57 , so
add them all up 9+7+3+x+17+4+11 = 57
x = 57-51
x=6
State your conclusion
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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