### Instruction: There are 200 students enrolled at Memorial Middle School. Seventy of the students are in band and 95 are in chorus. If only 150 students are in band and/or chorus, how many students are in both band and chorus?### Response: To solve this problem, I need to find the number of students who are in both band and chorus.
I can use the formula for the union of two sets: |A ∪ B| = |A| + |B| - |A ∩ B|, where A is the set of students in band, B is the set of students in chorus, and |A|, |B|, and |A ∪ B| are the number of elements in each set.
In this problem, |A ∪ B| is given as 150, |A| is given as 70, and |B| is given as 95.
Plugging these values into the formula, I get: 150 = 70 + 95 - |A ∩ B|.
Simplifying, I get: |A ∩ B| = 70 + 95 - 150.
Evaluating, I get: |A ∩ B| = 15.
This means that there are 15 students who are in both band and chorus.