Respuesta :
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 = 24
Percentage 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.