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. This means that for every 3 girls, there is 1 boy.
Let's say the number of girls is represented by 3x and the number of boys is represented by x.
According to the given information, the total number of students is 400. So, we can write the equation:
3x + x = 400
Combining like terms, we get:
4x = 400
Dividing both sides of the equation by 4, we find:
x = 100
Therefore, there are 100 boys in the school.
To find the number of boys, we first need to determine the total number of parts in the ratio of girls to boys.
The ratio of girls to boys is 3:1, which means there are 3 parts for girls and 1 part for boys.
The total number of parts in the ratio is 3 + 1 = 4.
We know that the total number of students is 400.
To find the number of boys, we need to divide the total number of students by the total number of parts in the ratio.
Boys = (1 part / 4 parts) × 400 students
Using cross-multiplication:
Boys = (1/4) × 400 = 100
Therefore, there are 100 boys in the school.
To find the number of boys in the school, we need to determine the ratio of girls to boys.
The given ratio is 3 to 1, which means that for every 3 girls, there is 1 boy.
We can set up a proportion to solve the problem.
Let's assign variables to the number of girls (G) and boys (B).
Based on the given ratio, we can write the proportion as:
G/B = 3/1
Since the total number of students is 400, we know that:
G + B = 400
Now, we can solve for B by substituting the value of G/B from the proportion into the equation:
(3/1)B + B = 400
Adding the terms with similar variables:
4B = 400
Divide both sides of the equation by 4 to isolate B:
B = 400/4
B = 100
Therefore, there are 100 boys in the school.