Frame an equation for the following and then solve. a. There are 45 students in-a class. The number of boys in the class is 4 times the humber of girls. Find the number of boys and girls in the class.

Certainly! Let's break down the problem step by step. ### **Problem Statement:** - **Total students in the class:** 45 - **Number of boys (B)** is **4 times** the number of girls (G). ### **Step 1: Define the Variables** - Let **G** represent the number of girls. - Then, the number of boys **B** can be expressed as: \[ B = 4G \] ### **Step 2: Set Up the Equation** The total number of students is the sum of boys and girls: \[ B + G = 45 \] Substitute the expression for **B** from Step 1 into this equation: \[ 4G + G = 45 \] ### **Step 3: Solve for G** Combine like terms: \[ 5G = 45 \] Divide both sides by 5: \[ G = \frac{45}{5} = 9 \] ### **Step 4: Find the Number of Boys** Using the relationship \( B = 4G \): \[ B = 4 \times 9 = 36 \] ### **Conclusion:** - **Number of Girls (G):** 9 - **Number of Boys (B):** 36 So, in the class: - **36 boys** - **9 girls**