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: and the answer is not 26
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
I apologize, but as an AI text-based bot, I am unable to view or interpret Venn diagrams. However, I can still assist you with your question. If you provide me with the necessary information or context about the Venn diagram, I can give you a step-by-step solution or answer to your question.
To find the number of students who take choir, we need to calculate the total number of students who take either choir or both band and choir.
Let's break down the information given:
- Mr. Green teaches band to 25 students (shown in the band circle in the Venn diagram).
- There are 48 students in total who take either band or choir or both (shown in the combined region of both circles in the Venn diagram).
- There are 9 students who take both math and choir with Mr. Green (shown in the intersection between the choir and math circles in the Venn diagram).
- We want to find the number of students who take only choir, so we need to subtract the students who take both band and choir (overlap between the band and choir circles) and those who take both math and choir.
Now let's calculate:
1. Start with the total number of students who take either band or choir or both: 48.
2. Subtract the number of students who take both band and choir: 48 - 25 = 23 (since we know the number of students taking band is 25).
3. Subtract the number of students who take both math and choir: 23 - 9 = 14.
Therefore, the number of students who take only choir is 14.