Question

The ratio of boys to girls in a class is $5:3$. If there are 40 boys, how many girls are there?

• A. 20
• B. 24
• C. 28
• D. 32

Hint:

To solve ratio problems quickly, find the value of "one part." Here, 5 parts = 40, so 1 part = 8. Since girls are 3 parts, $3 \times 8 = 24$.

Answer 1

The Correct Option is B

Step 1: Understanding the Concept:
A ratio expresses the proportional relationship between two quantities. If the ratio is $x:y$, it means for every $x$ parts of the first quantity, there are $y$ parts of the second.

Step 2: Identifying the Values:
Let the number of boys be $5k$ and the number of girls be $3k$, where $k$ is a constant. Given: $5k = 40$

Step 3: Calculation:
1. Find the value of $k$: \[ k = \frac{40}{5} = 8 \] 2. Calculate the number of girls: \[ \text{Girls} = 3k = 3 \times 8 = 24 \]

Step 4: Final Answer:
There are 24 girls in the class.