Question

In a school, if 32 members of Year 10 study neither history nor geography, how many students are there in Year 10?

a. 10
b. 32
c. 42
d. Insufficient information to determine.

Answer 1

There is insufficient information to determine the number of students in Year 10.

Step-by-step explanation:

To find the number of students in Year 10, we need to subtract the number of students who study neither history nor geography from the total number of students. Let's denote the number of students in Year 10 as x. We know that 32 students study neither history nor geography, so the number of students who study at least one of these subjects is x - 32. Since the total number of students in Year 10 is x, the equation becomes:

x - 32 = x

Simplifying the equation, we can subtract x from both sides:

-32 = 0

This is not a valid equation, which means that there is no solution. Therefore, there is insufficient information to determine the number of students in Year 10.