A class of 28 students has 13 boys and 15 girls. What is the ratio of girls to boys in the class?
The Correct Answer and Explanation is:
Correct Answer:
The ratio of girls to boys in the class is 15:13.
Explanation
A ratio is a way to compare two quantities using division. It shows how much of one thing there is compared to another. In this case, we are asked to find the ratio of girls to boys in a class.
We are told:
- There are 15 girls.
- There are 13 boys.
To express the ratio of girls to boys, we write the number of girls first, followed by the number of boys:Ratio of girls to boys=15:13\text{Ratio of girls to boys} = 15:13Ratio of girls to boys=15:13
This means that for every 15 girls, there are 13 boys in the class. It’s important to keep the order correct. The ratio of girls to boys is not the same as the ratio of boys to girls, which would be 13:15.
Ratios can also be expressed as fractions or decimals, but in most cases like this, it’s best to keep them in the form of two numbers separated by a colon (:), especially when dealing with groups or populations.
Let’s check if the ratio can be simplified. To do that, we see whether both numbers (15 and 13) have a common factor other than 1. Since 15 and 13 share no common factors other than 1, the ratio 15:13 is already in its simplest form.
This ratio tells us about the gender distribution in the class. A ratio close to 1:1 would mean an equal number of boys and girls. However, in this case, the ratio 15:13 shows there are slightly more girls than boys. Understanding such ratios helps in analyzing group compositions and making decisions based on proportion and balance.
So, to conclude:
The ratio of girls to boys in the class is 15:13, and it is already in its simplest form.
