Question

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 1

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 =

$100\%-\text{Percentage of class that failed}-\text{Percentage of class that made mistakes but did not fail}\\= 100\%-15\%-25\%\\= 60\%$

Let x be the total number of students in the class.

Then, we can write:

$60\% \text{ of } x = 24\\60\% \times x = 24\\\\\displaystyle\frac{60}{100}\times x = 24\\\\x = 24\times \frac{100}{60}\\\\x = 40$

Thus, there are 40 students in the class.

Answer 2

Answer:

40

Step-by-step explanation:

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