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A school has 120 students. If the number of boys is twice the number of girls, h

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Question: A school has 120 students. If the number of boys is twice the number of girls, how many boys are there?

Options:

  1. 30
  2. 40
  3. 80
  4. 60

Correct Answer: 60

Solution: 

Let the number of girls be x. Then the number of boys is 2x. The equation is x + 2x = 120. Solving gives 3x = 120, so x = 40. Therefore, boys = 2x = 80.

A school has 120 students. If the number of boys is twice the number of girls, h

Practice Questions

Q1
A school has 120 students. If the number of boys is twice the number of girls, how many boys are there?
  1. 30
  2. 40
  3. 80
  4. 60

Questions & Step-by-Step Solutions

A school has 120 students. If the number of boys is twice the number of girls, how many boys are there?
  • Step 1: Understand that the total number of students is 120.
  • Step 2: Let the number of girls be represented by 'x'.
  • Step 3: Since the number of boys is twice the number of girls, we can represent the number of boys as '2x'.
  • Step 4: Write an equation that combines the number of girls and boys: x + 2x = 120.
  • Step 5: Simplify the equation: 3x = 120.
  • Step 6: Solve for 'x' by dividing both sides of the equation by 3: x = 120 / 3.
  • Step 7: Calculate the value of 'x': x = 40. This means there are 40 girls.
  • Step 8: To find the number of boys, use the equation for boys: boys = 2x = 2 * 40.
  • Step 9: Calculate the number of boys: boys = 80.
  • Algebraic Equations – The question tests the ability to set up and solve a simple algebraic equation based on a word problem.
  • Ratio and Proportion – The relationship between the number of boys and girls is a ratio, which is essential for understanding the problem.
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