A small college offers 281 different classes. No two classes can meet at the same time in the same room, of course. There are 13 different time slots at which classes can occur. What is the minimum number of classrooms needed to accommodate all the classes? g

Question

Mathematics

Sharon Fleming

7 February, 01:49

A small college offers 281 different classes. No two classes can meet at the same time in the same room, of course. There are 13 different time slots at which classes can occur. What is the minimum number of classrooms needed to accommodate all the classes? g

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Yusuf Leblanc · Answer 1

The number of classrooms needed to accommodate all the classes is 22.

Step-by-step explanation:

[text}N_{classes} / N_{time slots} = N_{classrooms}[/text]

281 / 13 = 21.6; the number of classrooms needed to accommodate all the classes is 22.

To calculate the number of classrooms that you need to accommodate 281 different classes in 13 time slots, you have to divide the number of classes (281) by the number of time slots (13). The result is 21.6 classrooms needed. However, because you cannot have a class to a 0.6 classroom, you have to round up to 22.