A professor has 180 students in her classes at the beginning of the semester, but 18 students withdraw from her classes before Test #3. If she has 4 classes in total and each class has an equal number of students, how many students are in each class? Round your answer to the nearest ones (i.e., one student).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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### Problem Statement:

A professor has 180 students in her classes at the beginning of the semester, but 18 students withdraw from her classes before Test #3. If she has 4 classes in total and each class has an equal number of students, how many students are in each class? **Round your answer to the nearest ones (i.e., one student).**

### Solution:

1. **Initial Total Students**: 180
2. **Students Withdrawn**: 18
3. **Remaining Students**: 180 - 18 = 162
4. **Number of Classes**: 4

To find the number of students in each class, divide the remaining students by the number of classes:

\[ \text{Students per class} = \frac{162}{4} = 40.5 \]

Since the answer needs to be rounded to the nearest whole number, each class has approximately **41 students**.
Transcribed Image Text:### Problem Statement: A professor has 180 students in her classes at the beginning of the semester, but 18 students withdraw from her classes before Test #3. If she has 4 classes in total and each class has an equal number of students, how many students are in each class? **Round your answer to the nearest ones (i.e., one student).** ### Solution: 1. **Initial Total Students**: 180 2. **Students Withdrawn**: 18 3. **Remaining Students**: 180 - 18 = 162 4. **Number of Classes**: 4 To find the number of students in each class, divide the remaining students by the number of classes: \[ \text{Students per class} = \frac{162}{4} = 40.5 \] Since the answer needs to be rounded to the nearest whole number, each class has approximately **41 students**.
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