If the ratio of boys to girls in a class is 2:3, what fraction of the class are boys?

If the ratio of boys to girls in a class is 2:3, what fraction of the class are boys?

• A. 2/7
• B. 3/5
• C. 2/5
• D. 3/7

Answer: (C)

To determine the fraction of boys in a class where the ratio of boys to girls is 2:3, first, we can represent the number of boys and girls based on this ratio. The ratio indicates that for every 2 boys, there are 3 girls. To find the total number of parts, we add the parts of boys and girls together: 2 parts (boys) + 3 parts (girls) = 5 parts in total. Now, to find the fraction of the class that consists of boys, we take the number of boys (2 parts) and divide it by the total number of parts (5 parts): \[ \text{Fraction of boys} = \frac{\text{Number of boys}}{\text{Total number of parts}} = \frac{2}{5}. \] This shows that the fraction of the class that comprises boys is indeed 2/5, confirming that this is the correct answer.

To determine the fraction of boys in a class where the ratio of boys to girls is 2:3, first, we can represent the number of boys and girls based on this ratio.

The ratio indicates that for every 2 boys, there are 3 girls. To find the total number of parts, we add the parts of boys and girls together:

2 parts (boys) + 3 parts (girls) = 5 parts in total.

Now, to find the fraction of the class that consists of boys, we take the number of boys (2 parts) and divide it by the total number of parts (5 parts):

[

\text{Fraction of boys} = \frac{\text{Number of boys}}{\text{Total number of parts}} = \frac{2}{5}.

]

This shows that the fraction of the class that comprises boys is indeed 2/5, confirming that this is the correct answer.