Sure, let's walk through the solution step-by-step.
1. Understand the Ratio: The ratio of boys to girls given is [tex]\( 4:3 \)[/tex]. This means for every 4 boys, there are 3 girls.
2. Translate the Ratio to Actual Numbers:
- Let's denote the number of boys as [tex]\( \text{boys} \)[/tex] and the number of girls as [tex]\( \text{girls} \)[/tex].
- According to the ratio [tex]\( 4:3 \)[/tex], we can write it as:
[tex]\[
\frac{\text{boys}}{\text{girls}} = \frac{4}{3}
\][/tex]
3. Given Information: We know that the number of boys is 28.
4. Set Up the Equation:
[tex]\[
\frac{28}{\text{girls}} = \frac{4}{3}
\][/tex]
5. Solve for the Number of Girls:
- We can cross-multiply to solve for the number of girls.
[tex]\[
28 \times 3 = 4 \times \text{girls}
\][/tex]
- This simplifies to:
[tex]\[
84 = 4 \times \text{girls}
\][/tex]
- To isolate [tex]\(\text{girls}\)[/tex], divide both sides by 4:
[tex]\[
\text{girls} = \frac{84}{4}
\][/tex]
- Simplifying the division gives us:
[tex]\[
\text{girls} = 21
\][/tex]
Therefore, the number of girls in the class is 21.
