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)
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The ratio of girls to boys is 3 to 1, so let's call the number of girls 3x and the number of boys x.
Together, the number of students would be 3x + x = 4x.
We know that the total number of students is 400, so 4x = 400.
Dividing both sides of the equation by 4, we get 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 first need to determine the ratio of girls to boys, which is 3 to 1.
Let's assume the number of girls is represented by 3x, and the number of boys is represented by x (since the ratio is 3 to 1).
According to the given information, the total number of students is 400.
So, we can write the equation:
3x + x = 400
Combining like terms:
4x = 400
To solve for x, we divide both sides of the equation by 4:
x = 400 / 4
x = 100
Now that we have found x, we can substitute it back into the equation to find the number of boys:
Number of boys = x = 100
To solve this problem, we need to use the ratio given and find the number of boys in the school.
Given that the ratio of girls to boys is 3 to 1, we can represent this ratio as 3/1 or 3:1. This means that for every 3 girls, there is 1 boy.
To find the number of boys, we need to determine how many groups of 3 girls there are in the total number of students.
Since there are 400 students in total, we can find the number of groups of girls by dividing 400 by 3:
400 รท 3 = 133.33...
Since we know the number of groups of girls, we can multiply it by the ratio to find the number of boys:
133.33... x 1 = 133.33...
However, the answer must be a whole number, so we round down:
133.33... rounded down to the nearest whole number is 133.
Therefore, there are 133 boys in the school.