Question

A movie theater was filled with three different schools. If an elementary school filled 3/8, a middle school filled 1/3, and the high school filled 1/4 of the theater, how much room is left?

a) 3/24
b) 5/24
c) 7/24
d) 9/24

Answer 1

To find the amount of room left in the movie theater, you need to subtract the fractions representing the amount filled by each school from 1. The amount of room left is 1/24.

Step-by-step explanation:

To find the amount of room left, we need to subtract the amount filled by each school from the total.

Given that the elementary school filled 3/8, the middle school filled 1/3, and the high school filled 1/4 of the theater, we can add these fractions together to find the total amount filled: 3/8 + 1/3 + 1/4 = 9/24 + 8/24 + 6/24 = 23/24.

To find the amount of room left, we need to subtract this sum from 1 (since that represents the whole): 1 - 23/24 = 1/24.

Therefore, the amount of room left is 1/24, which is option a) in the choices given.