A school has a total of 300 students. If the ratio of boys to girls is 3:2, how

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Question: A school has a total of 300 students. If the ratio of boys to girls is 3:2, how many girls are there?

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Correct Answer: 150

Solution:

Let the number of boys be 3x and the number of girls be 2x. Then, 3x + 2x = 300. This gives 5x = 300, so x = 60. Therefore, the number of girls is 2x = 120.

A school has a total of 300 students. If the ratio of boys to girls is 3:2, how

Practice Questions

A school has a total of 300 students. If the ratio of boys to girls is 3:2, how many girls are there?

Questions & Step-by-Step Solutions

A school has a total of 300 students. If the ratio of boys to girls is 3:2, how many girls are there?

Step 1: Understand the total number of students, which is 300.
Step 2: Know the ratio of boys to girls, which is 3:2.
Step 3: Represent the number of boys as 3x and the number of girls as 2x, where x is a common multiplier.
Step 4: Write an equation for the total number of students: 3x + 2x = 300.
Step 5: Combine the terms on the left side of the equation: 5x = 300.
Step 6: Solve for x by dividing both sides of the equation by 5: x = 300 / 5.
Step 7: Calculate x, which equals 60.
Step 8: Find the number of girls by calculating 2x: 2 * 60 = 120.
Step 9: Conclude that there are 120 girls in the school.

Ratios – Understanding and applying ratios to solve problems involving proportions.
Algebraic Equations – Setting up and solving equations based on given relationships.
Word Problems – Interpreting a real-world scenario and translating it into a mathematical equation.

A school has a total of 300 students. If the ratio of boys to girls is 3:2, how

What’s inside this PDF?

A school has a total of 300 students. If the ratio of boys to girls is 3:2, how

Practice Questions

Questions & Step-by-Step Solutions

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