The ratio of girls to boys in the school is 3 to 1. If there is a total of 400 students, how many are boys? The answer must be a whole number.(1 point)
The ratio of girls to boys is 3 to 1, which means that for every 3 girls, there is 1 boy.
Let's represent the number of girls as 3x and the number of boys as x.
Since the total number of students is 400, we can write the equation as:
3x + x = 400
Combining like terms, we get:
4x = 400
Dividing both sides of the equation by 4, we get:
x = 100
Therefore, there are 100 boys in the school.
To find the number of boys, we need to determine the ratio of girls to boys and then use it to solve for the number of boys.
Given that the ratio of girls to boys is 3 to 1, we can write it as follows:
Girls : Boys = 3 : 1
To find the number of boys, we need to divide the total number of students by the sum of the parts in the ratio (3 + 1 = 4), and then multiply the result by the number of boys.
Total students = 400
Total parts in ratio = 3 + 1 = 4
Number of boys = (Number of boys parts / Total parts in ratio) * Total students
Number of boys = (1 / 4) * 400
Number of boys = 100
Therefore, there are 100 boys in the school.
To find the number of boys in the school, we need to determine the number of parts in the ratio that represent boys and then calculate their quantity.
Let's start by calculating the total number of parts in the ratio. The ratio of girls to boys is 3 to 1, which means there are 3 + 1 = 4 parts in total.
Next, we need to find the value of one part. Since there are 400 students in total, we divide the total number of students by the total number of parts: 400 รท 4 = 100.
Now that we know the value of one part, we can calculate the number of parts representing boys. Since there is one part for boys in the ratio, the number of boys is 1 * 100 = 100.
Therefore, there are 100 boys in the school.