A school has boys and girls in the ratio of 5:3. If there are 64 students in tot

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Question: A school has boys and girls in the ratio of 5:3. If there are 64 students in total, how many girls are there?

Options:

Correct Answer: 24

Solution:

Let the number of girls be 3x and boys be 5x. The equation is 3x + 5x = 64. Solving gives 8x = 64, so x = 8. Therefore, girls = 3x = 24.

A school has boys and girls in the ratio of 5:3. If there are 64 students in total, how many girls are there?

A school has boys and girls in the ratio of 5:3. If there are 64 students in total, how many girls are there?

Step 1: Understand the ratio of boys to girls, which is 5:3.
Step 2: Let 'x' be a common multiplier. This means the number of boys is 5x and the number of girls is 3x.
Step 3: Write an equation for the total number of students: 5x + 3x = 64.
Step 4: Combine the terms on the left side of the equation: 8x = 64.
Step 5: Solve for 'x' by dividing both sides of the equation by 8: x = 64 / 8.
Step 6: Calculate x: x = 8.
Step 7: Find the number of girls by substituting x back into the equation for girls: Girls = 3x = 3 * 8.
Step 8: Calculate the number of girls: Girls = 24.

Ratio and Proportion – Understanding how to set up and solve problems involving ratios, particularly in the context of dividing a total into parts based on given ratios.
Algebraic Equations – Using algebra to represent relationships and solve for unknowns, particularly through the use of variables.