Question

How many students are in Ms. Jackson’s class?
A. 10
B. 15
C. 23
D. 25

Answer 1

There are 15 students in Ms. Jackson’s class

How many students are in Ms. Jackson’s class?

From the question, we have the following parameters that can be used in our computation:

The Venn diagram

Where, we have

Both = 5

None = 2

Using the above as a guide, we have the following:

Total students = (10 -5) + 5 + (8 -5) + 2

Evaluate

Total students = 15

Hence. there are 15 students in Ms. Jackson’s class

Answer 2

Option B) 15 is the total number of students in Jackson’s class.

Explanation:

From the given Venn diagram,

we can determine the following information :

• The number of students in Band = 10 students.
• The number of students in Orchestra = 8 students.
• The number of students in both = 5 students.
• The number of students in neither band nor orchestra = 2 students.

To find the total number of students :

The formula to find the total number is given by,

Total = Group 1 + Group 2 - Both + Neither

Here, we have group 1 as band and group 2 as orchestra.

Total number of students = 10 + 8 - 5 + 2 ⇒ 15 students. (option B)