Question

75% of the students in a class passed an exam if 2 more students had passed the exam , 80% would have been successful . how many students are there

Answer 1

75/100 × x + 2= 80/100× x

Answer 2

Given:

75% of students in a class have passed an exam.

If 2 more students had passed, 80% of the class would have been successful in the exam.

To Find:

The total number of students in the class.

Solution:

Let the total number of students in class = x

Then, according to the given conditions in the question, we get the following equation:

75% of x + 2 = 80% of x

Solving further, we get:

$\Rightarrow (\frac{75}{100} \times x) + 2 = \frac{80}{100} \times x\\ \\\Rightarrow (\frac{3}{4} \times x) + 2 = \frac{4}{5} \times x\\\\\Rightarrow \frac{3x}{4} +2 = \frac{4x}{5} \\ \\\Rightarrow \frac{4x}{5} - \frac{3x}{4} = 2\\ \\\Rightarrow \frac{16x-15x}{20} = 2\\ \\\Rightarrow \frac{x}{20} = 2\\ \\\Rightarrow x = 20 \times 2\\\Rightarrow x = 40$

Therefore, the total number of students in the class = 40 students.