75% of the students in a class passed an exam. If 2 more students has passed the exam, 80% would have been successful. How many students are there in the class
Plz answer fast
Answers
Answer:
Here's your answer.
Step-by-step explanation:
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:
\begin{lgathered}\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\end{lgathered}
⇒(
100
75
×x)+2=
100
80
×x
⇒(
4
3
×x)+2=
5
4
×x
⇒
4
3x
+2=
5
4x
⇒
5
4x
−
4
3x
=2
⇒
20
16x−15x
=2
⇒
20
x
=2
⇒x=20×2
⇒x=40
Therefore, the total number of students in the class = 40 students.
Please mark as brainliest.
Answer:
total number of students are there in the class 40
