In the ratio of girls to boys given (4 to 3), how many boys are there if there are 16 girls in the class?

In a ratio, the numbers represent parts of a whole, and they indicate the relationship between two quantities. The given ratio of girls to boys is 4 to 3. This means that for every 4 girls, there are 3 boys.

To find the number of boys corresponding to 16 girls, you can set up a proportion based on the ratio. You know that if there are 4 girls, there are 3 boys; therefore:

1. Start with the ratio: 4 girls corresponds to 3 boys.

2. Set up a proportion based on this ratio:

[

\frac{4}{3} = \frac{16}{x}

]

where (x) represents the number of boys.

3. Cross-multiply to solve for (x):

[

4x = 3 \times 16

]

[

4x = 48

]

4. Divide both sides by 4:

[

x = \frac{48}{4} = 12

]

Thus, the number of boys in the class is 12. This understanding helps confirm that when maintaining a specific ratio, scaling one part (in this case, girls) accurately dictates the amount of the