The problem presented in the image involves a ratio. Here's the breakdown:

Problem:

The PE teacher has a ratio of 3 girls to 2 boys in one of her classes. If there are 24 girls, how many boys are there?

Solution:

1. Understanding the ratio: The ratio of girls to boys is 3:2. This means for every 3 girls, there are 2 boys.

2. Determine the factor: Since there are 24 girls, we need to figure out how many times the number 3 (representing girls in the ratio) fits into 24. This gives us the factor by which we will scale the boys. $\text{Factor} = \frac{24}{3} = 8$

3. Apply the factor to boys: Since the ratio of boys is 2 parts, multiply the factor by 2 to find the number of boys: $\text{Number of boys} = 8 \times 2 = 16$

Answer:

There are 16 boys in the class.

Would you like further details or have any questions?

Here are 5 related questions:

1. If the ratio were 4 girls to 3 boys, how many boys would there be if there were 24 girls?
2. How many girls would there be if there were 40 boys, assuming the same ratio of 3:2?
3. If the total number of students (girls + boys) is 50, how many girls and boys are there in the class?
4. What would happen to the ratio if the number of boys doubled while the number of girls remained the same?
5. If 10 more girls joined the class, how many boys should be added to maintain the same ratio?

Tip: When working with ratios, always scale both parts by the same factor to maintain the proportion.