Ask a New Question
Menu

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

3 answers

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.

make your work shorter and less complicated

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.