Question

At a large university, 434 freshmen, 883 sophomores, and 43 juniors are enrolled in an introductory algorithms course. How many sections of this course need to be scheduled to accommodate all these students if each section contains 34 students?

Name: Problem 45, Chapter 6: Discrete Mathematics and its Applications
Uploaded: 2020-12-23T17:01:54-08:00
Duration: 1 min 12 s
Channel: Ashley High
Description: At a large university, 434 freshmen, 883 sophomores, and 43 juniors are enrolled in an introductory algorithms course. How many sections of this course need to be scheduled to accommodate all these students if each section contains 34 students?

   At a large university, 434 freshmen, 883 sophomores, and 43 juniors are enrolled in an introductory algorithms course. How many sections of this course need to be scheduled to accommodate all these students if each section contains 34 students?

Discrete Mathematics and its Applications

Kenneth Rosen 8th Edition

Chapter 6, Problem 45

Instant Answer

Solved by Expert Ashley High

12/23/2020

Step 1

This is done by adding the number of freshmen, sophomores, and juniors. In mathematical terms, this can be represented as: \[TotalStudents = Freshmen + Sophomores + Juniors\] Substituting the given values, we get: \[TotalStudents = 434 + 883 + 43 = 1360\] Show more…

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At a large university, 434 freshmen, 883 sophomores, and 43 juniors are enrolled in an introductory algorithms course. How many sections of this course need to be scheduled to accommodate all these students if each section contains 34 students?

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Key Concepts

Aggregation of Quantities

This concept involves summing individual counts to obtain a total, which is a fundamental operation in many problems. It's used to combine distinct parts of a dataset to understand the overall scale of the data, such as total enrollment or total resources available.

Division with Rounding Up (Ceiling Function)

This concept is used when a total is divided by a group size or capacity and the result may not be an integer. The ceiling function rounds up to the nearest whole number, ensuring that every item or individual is accounted for, even if the final group is not completely filled.

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