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? Answer must be a whole number
If the ratio of girls to boys is 3 to 1, then for every 3 girls, there is 1 boy.
Let's represent the number of girls in the school as 3x and the number of boys as x.
The total number of students in the school is the sum of the number of girls and boys: 3x + x = 400.
Combining like terms, we get 4x = 400.
Dividing both sides of the equation by 4, we find x = 100.
Therefore, the number of boys is x = 100.
So, there are 100 boys in the school.
To find the number of boys in the school, we need to determine the number of groups of 4 that can be made from 400 students.
The given ratio states that there are 3 girls for every 1 boy. This means that a group consists of 3 girls and 1 boy, totaling 4 students.
To find the number of groups of 4 students, we divide the total number of students by 4:
400 students รท 4 students/group = 100 groups
Since each group contains 1 boy, the number of boys is equal to the number of groups.
Therefore, there are 100 boys in the school.
To find the number of boys, we need to determine the total number of parts in the ratio and then calculate the number of parts representing the boys.
The ratio of girls to boys is given as 3 to 1, which can be written as 3/1.
The total number of parts in the ratio is 3 + 1 = 4.
To find the number of boys, we divide the total number of students by the total number of parts in the ratio and then multiply by the number of parts representing the boys.
Number of boys = (Number of students / Total number of parts) * Number of parts representing boys
Number of boys = (400 / 4) * 1
Number of boys = 100
Therefore, there are 100 boys in the school.