In a class, 60% of the students are girls. If there are 24 girls, how many stude

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Question: In a class, 60% of the students are girls. If there are 24 girls, how many students are there in total?

Options:

Correct Answer: 36

Solution:

Let the total number of students be x. Then, 0.6x = 24. Therefore, x = 24 / 0.6 = 40.

In a class, 60% of the students are girls. If there are 24 girls, how many students are there in total?

In a class, 60% of the students are girls. If there are 24 girls, how many students are there in total?

Correct Answer: 40

Step 1: Understand that 60% of the students are girls. This means that if we know the total number of students, we can find the number of girls by multiplying that total by 0.6.
Step 2: Let the total number of students be represented by 'x'. So, we can write the equation: 0.6 * x = number of girls.
Step 3: We know there are 24 girls, so we can replace 'number of girls' in the equation: 0.6 * x = 24.
Step 4: To find 'x', we need to isolate it. We can do this by dividing both sides of the equation by 0.6: x = 24 / 0.6.
Step 5: Now, calculate 24 divided by 0.6. This gives us x = 40.
Step 6: Therefore, the total number of students in the class is 40.

Proportions – Understanding the relationship between parts and the whole, specifically how to set up equations based on given percentages.
Algebraic Manipulation – Solving for a variable in an equation, including division and understanding decimal representation.