The ratio of girls to boys in Mrs. Webb’s class is 3 to 4. There are 9 girls in Mrs. Webb’s class. What is the total number of students in her class?
girls : boys = 3 : 4 = 3x : 4x
but we are told 3x = 9
x = 3
total students = 7x
= 21
check: we have 9 girls and 12 boys
ratio = 9:12 = 3:4,
my answer is correct
To find the total number of students in Mrs. Webb's class, we can set up a proportion based on the ratio of girls to boys.
Ratio of girls to boys = 3:4
Let's let the number of boys be x.
Based on the proportion, we can write:
3/4 = 9/x
Cross-multiplying, we get:
3x = 4 * 9
Simplifying, we have:
3x = 36
Dividing both sides by 3, we find:
x = 36/3
x = 12
Therefore, the number of boys in Mrs. Webb's class is 12.
To find the total number of students, we add the number of girls and boys:
Total number of students = Number of girls + Number of boys
Total number of students = 9 + 12
Total number of students = 21
So, there are 21 students in Mrs. Webb's class.
To find the total number of students in Mrs. Webb's class, we need to determine the number of boys.
Given that the ratio of girls to boys is 3 to 4, we can set up the following equation:
3/4 = 9/x
Here, "x" represents the total number of students in the class, and we can cross-multiply to solve for x:
3x = 4 × 9
3x = 36
Dividing both sides of the equation by 3 will give us the value of x:
x = 36/3
x = 12
Therefore, the total number of students in Mrs. Webb's class is 12.