In a class, the ratio of boys to girls is 5:3. If there are 40 students in total

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Question: In a class, the ratio of boys to girls is 5:3. If there are 40 students in total, how many girls are there?

Options:

Correct Answer: 15

Solution:

Let boys be 5x and girls be 3x. Then, 5x + 3x = 40, 8x = 40, x = 5. Therefore, girls = 3x = 3*5 = 15.

In a class, the ratio of boys to girls is 5:3. If there are 40 students in total, how many girls are there?

In a class, the ratio of boys to girls is 5:3. If there are 40 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 boys can be represented as 5x and girls as 3x.
Step 3: Write an equation for the total number of students: 5x + 3x = 40.
Step 4: Combine the terms on the left side: 8x = 40.
Step 5: Solve for 'x' by dividing both sides by 8: x = 40 / 8.
Step 6: Calculate x: x = 5.
Step 7: Find the number of girls by substituting x back into the girls' expression: girls = 3x = 3 * 5.
Step 8: Calculate the number of girls: girls = 15.

Ratio and Proportion – Understanding and applying the concept of ratios to solve problems involving parts of a whole.
Algebraic Representation – Using variables to represent quantities and setting up equations based on given relationships.
Total Count Calculation – Calculating the total number of items based on the established ratios and solving for unknowns.