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
Let the number of girls be 3x, where x is the common ratio.
The number of boys is x.
The total number of students is 3x + x = 400.
Combining like terms, we get 4x = 400.
Dividing both sides by 4, we get x = 100.
The number of boys is x = 100. Answer: \boxed{100}.
To find the number of boys in the school, we need to determine the ratio of boys to the total number of students.
Given that the ratio of girls to boys is 3 to 1, we can calculate the total ratio as 3 + 1 = 4 (since there are three parts for girls and one part for boys in the ratio).
To find the number of boys, we can set up a proportion using the ratio of boys to the total ratio. Let's represent the number of boys as 'x'.
Boys / Total ratio = x / 4
Since the total number of students is 400, we can set up another proportion:
Total students / Total ratio = 400 / 4 = 100
Now, we can solve for x by setting up and solving the proportion:
Boys / Total students = x / 100
Cross multiplying, we have:
Boys * Total ratio = x * Total students
Substituting the known values:
1 * 400 = x * 100
Dividing both sides by 100:
400 = x * 1
Therefore, the number of boys in the school is 400.
To find the number of boys in the school, we need to determine the proportion of boys in the student population.
Given that the ratio of girls to boys is 3:1, we can divide the total number of students, 400, into four equal parts.
3 parts represent the number of girls, and 1 part represents the number of boys.
Therefore, we can calculate the number of boys by dividing 400 by 4:
400 / 4 = 100
Therefore, there are 100 boys in the school.