In a class, 60% of the students are girls. If there are 30 boys, how many studen

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Question: In a class, 60% of the students are girls. If there are 30 boys, how many students are there in total?

Options:

Correct Answer: 60

Solution:

Let the total number of students be x. Then, 40% of x = 30 (boys). So, x = 30 / 0.4 = 75. Total students = 75.

In a class, 60% of the students are girls. If there are 30 boys, how many students are there in total?

In a class, 60% of the students are girls. If there are 30 boys, how many students are there in total?

Correct Answer: 75

Step 1: Understand that 60% of the students are girls, which means 40% are boys.
Step 2: Let the total number of students be represented by 'x'.
Step 3: Since 40% of the students are boys and we know there are 30 boys, we can write the equation: 0.4 * x = 30.
Step 4: To find 'x', we need to solve the equation. First, divide both sides by 0.4: x = 30 / 0.4.
Step 5: Calculate 30 divided by 0.4, which equals 75.
Step 6: Therefore, the total number of students in the class is 75.

Percentage Calculation – Understanding how to convert percentages into fractions and apply them to find total quantities.
Algebraic Manipulation – Setting up equations based on given information and solving for unknowns.