There are 342 seats in the Jefferson Middle School auditorium. Students are using 2/3 of the seats in the auditorium, and teachers are using 75 seats. How many seats are not being used in the auditorium?

Question

A.
39

B.
114

C.
153

D.
267

Answer 1

To find out how many seats are not being used in the Jefferson Middle School auditorium, we can follow these steps:

1. Calculate the total seats being used by students. The students are using \( \frac{2}{3} \) of the 342 seats. \[ \text{Seats used by students} = \frac{2}{3} \times 342 = \frac{684}{3} = 228 \text{ seats} \]

2. Calculate the total number of seats being used. The total number of seats being used is the sum of seats used by students and seats used by teachers. \[ \text{Total seats used} = \text{Seats used by students} + \text{Seats used by teachers} \] \[ \text{Total seats used} = 228 + 75 = 303 \text{ seats} \]

3. Calculate the number of seats not being used. To find the number of unused seats, subtract the total number of seats used from the total number of seats in the auditorium. \[ \text{Unused seats} = \text{Total seats} - \text{Total seats used} \] \[ \text{Unused seats} = 342 - 303 = 39 \text{ seats} \]

Thus, the number of seats not being used in the auditorium is 39.

The answer is A. 39.