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.

Question

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.

UpStudy AI · Accepted Answer

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**
There are 36 boys and 9 girls in the class.

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.

Upstudy AI Solution

Answer

Solution

Problem Statement:

Step 1: Define the Variables

Step 2: Set Up the Equation

Step 3: Solve for G

Step 4: Find the Number of Boys

Conclusion:

The Deep Dive

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