When a class took a math test, 15% of the class failed, 25% made some mistakes (but didn’t fail), and 24 students got perfect scores. How many students were in the class?

Answer:There are 40 students in the class.Step-by-step explanation:We are given the following in the question:Percentage of class that failed = 15%Percentage of class that made mistakes but did not fail = 25%Number of students that got perfect score = 24Percentage of students that got perfect score = [tex]100\%-\text{Percentage of class that failed}-\text{Percentage of class that made mistakes but did not fail}\\= 100\%-15\%-25\%\\= 60\%[/tex]Let x be the total number of students in the class.Then, we can write:[tex]60\% \text{ of } x = 24\\60\% \times x = 24\\\\\displaystyle\frac{60}{100}\times x = 24\\\\x = 24\times \frac{100}{60}\\\\x = 40[/tex]Thus, there are 40 students in the class.