Question

ANSWER THESE SHOW YOUR WORK OR THINKING PROCESSES
the ratio of boys to girls in ms.cunninghams class is 2 to 3 there are 18 girls in the class whats the total students in her ckass
a 12
b 30
c 45
d 27

Answer 1

To find the total number of students in Ms. Cunningham's class, we start with the given ratio of boys to girls, which is 2:3. This means that for every 2 boys, there are 3 girls.

1. **Understanding the ratio**:
- Let the number of boys be \( 2x \).
- Let the number of girls be \( 3x \).

2. **Finding \( x \)**:
- We know there are 18 girls in the class, so we can set up the equation:
\[
3x = 18
\]
- To find \( x \), we divide both sides by 3:
\[
x = \frac{18}{3} = 6
\]

3. **Finding the number of boys**:
- Now, we can find the number of boys using \( x \):
\[
2x = 2 \times 6 = 12
\]

4. **Calculating the total number of students**:
- The total number of students in the class is the sum of the number of boys and girls:
\[
\text{Total Students} = \text{Number of Boys} + \text{Number of Girls}
\]
\[
\text{Total Students} = 12 + 18 = 30
\]

Thus, the total number of students in Ms. Cunningham's class is **30**.

So, the answer is \( b \) 30.

Answer 2

make your work shorter and less complicated

Answer 3

Sure! Here’s a simpler breakdown:

1. **Given Ratio**: Boys to girls = \(2:3\)
2. **Number of Girls**: 18

3. **Finding Total Parts**:
- Total parts of the ratio: \(2 + 3 = 5\)

4. **Finding One Part**:
- Since there are 3 parts for girls:
\[
\text{One part} = \frac{18 \text{ girls}}{3} = 6
\]

5. **Finding Number of Boys**:
- Number of boys = \(2 \times 6 = 12\)

6. **Total Students**:
\[
\text{Total} = 12 \text{ boys} + 18 \text{ girls} = 30
\]

**Answer**: \( b \) 30.