Question

There are 34 students in anatomy class and 37 students in physics class. If there are 48 students in total, how many students are in both classes?

Answer 1

To find the number of students in both the anatomy and physics classes, we can use the concept of sets and intersection. The number of students in both classes is 23.

Step-by-step explanation:

To find the number of students in both the anatomy and physics classes, we can use the concept of sets and intersection. Let's assume A represents the set of students in the anatomy class, B represents the set of students in the physics class, and U represents the universal set of all students.

According to the given information, |A| = 34, |B| = 37, and |U| = 48.

The number of students in both classes can be found by using the formula:

|A ∩ B| = |A| + |B| - |U|

Substituting the values, we get:

|A ∩ B| = 34 + 37 - 48

|A ∩ B| = 71 - 48

|A ∩ B| = 23

Therefore, there are 23 students in both the anatomy and physics classes.

Answer 2

Answer: 23

Step-by-step explanation:

let x=no. of students in both classes

no. of students in anatomy = 34

no. of students in anatomy only= 34 -x

no. of students in physics= 37

no. of students in physics only=37-x

48 = 34-x + 37-x + x

48 = 34 - x + 37

48 = 71 - x

x = 71 - 48

x = 23

Therefore the number of students in both classes are 23