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

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

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.