In a class, the ratio of boys to girls is 3:2. If there are 25 students in total

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Question: In a class, the ratio of boys to girls is 3:2. If there are 25 students in total, how many girls are there?

Options:

Correct Answer: 10

Solution:

Let the number of girls be 2x and boys be 3x. The equation is 2x + 3x = 25. Solving gives 5x = 25, so x = 5. Therefore, girls = 2x = 10.

In a class, the ratio of boys to girls is 3:2. If there are 25 students in total, how many girls are there?

In a class, the ratio of boys to girls is 3:2. If there are 25 students in total, how many girls are there?

Step 1: Understand the ratio of boys to girls, which is 3:2. This means for every 3 boys, there are 2 girls.
Step 2: Let 'x' be a common multiplier. Then, the number of boys can be represented as 3x and the number of girls as 2x.
Step 3: Write an equation for the total number of students. The total is the number of boys plus the number of girls: 3x + 2x.
Step 4: Combine the terms in the equation: 3x + 2x = 5x.
Step 5: Set the equation equal to the total number of students, which is 25: 5x = 25.
Step 6: Solve for 'x' by dividing both sides of the equation by 5: x = 25 / 5, which gives x = 5.
Step 7: Now, find the number of girls by substituting 'x' back into the expression for girls: 2x = 2 * 5.
Step 8: Calculate 2 * 5 to find the number of girls: 2 * 5 = 10.

Ratios – Understanding and applying ratios to determine quantities based on given relationships.
Algebraic Equations – Setting up and solving equations based on the relationships defined by the problem.
Word Problems – Interpreting a real-world scenario and translating it into a mathematical model.