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Chapter 1: Problem 23

a. A statistics class is made up of 15 men and 23 women. What percentage of the class is male? b. A different class has 234 students, and \(64.1 \%\) of them are men. How many men are in the class? c. A different class is made up of \(40 \%\) women and has 20 women in it. What is the total number of students in the class?

Short Answer

Expert verified
a. Currently, roughly \(39.47 \%\) of the students in the class are men. b. There are approximately 150 men in the second class. c. The third class contains 50 students in total.

Step by step solution

01

Calculate the percentage of men in the first class

The percentage can be calculated by dividing the number of men by the total number of students and multiplying by 100. So, the percentage of men = \((15 / (15 + 23)) * 100 = 39.47 \% \) roughly.
02

Calculate the number of men in the second class

In this scenario, the percentage of men and total number of students are known. We can find the number of male students by multiplying the total number of students with the percentage of men and dividing by 100. So, the number of men = \((234 * 64.1) / 100 = 150\) approximately.
03

Calculate the total number of students in the third class

The problem provides the number of women and their percentage with respect to the total class number. Thus, we can find the total number of students by dividing the number of women by their percentage and multiplying by 100: Total students = \((20 / 40) * 100 = 50\)

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