In a class, 40% of the students are girls. If there are 30 girls in the class, h

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Question: In a class, 40% of the students are girls. If there are 30 girls in the class, how many students are there in total? (2023)

Options:

Correct Answer: 60

Exam Year: 2023

Solution:

Let the total number of students be x. Then, 40% of x = 30. Therefore, x = 30 / 0.4 = 75.

In a class, 40% of the students are girls. If there are 30 girls in the class, how many students are there in total? (2023)

In a class, 40% of the students are girls. If there are 30 girls in the class, how many students are there in total? (2023)

Step 1: Understand that 40% of the total number of students is equal to the number of girls in the class.
Step 2: Let the total number of students be represented by 'x'.
Step 3: Write the equation for the number of girls: 40% of x = 30.
Step 4: Convert 40% to a decimal. 40% is the same as 0.4.
Step 5: Rewrite the equation using the decimal: 0.4 * x = 30.
Step 6: To find 'x', divide both sides of the equation by 0.4: x = 30 / 0.4.
Step 7: Calculate 30 divided by 0.4, which equals 75.
Step 8: Conclude that the total number of students in the class is 75.

Percentage Calculation – Understanding how to calculate a total from a given percentage of that total.
Algebraic Manipulation – Setting up and solving equations based on the information provided.