The ratio of boys to girls in Ms. Pena's class is 2 to 3. There are 24 girls in the class. What is the total number of students in Ms. Pena's class? *
20 points
number of boys --- 2x
number of girsl --- 3x , note 2x : 3x = 2:3
but 3x = 24
x = 8
total number of students = 2x+3x = 5x = .....
2/3 = b/24
b = 16.
b+g = 16+24 = 40 students.
To find the total number of students in Ms. Pena's class, we can use the fact that the ratio of boys to girls is 2 to 3.
First, we need to determine the number of boys in the class. Since the ratio of boys to girls is 2 to 3, we can set up the following proportion:
2/3 = x/24
To solve for x, the number of boys in the class, we can cross-multiply and solve for x:
3x = 2 * 24
3x = 48
x = 48/3
x = 16
Therefore, there are 16 boys in Ms. Pena's class.
To find the total number of students in the class, we can add the number of boys and the number of girls:
Total number of students = Number of boys + Number of girls
= 16 + 24
= 40
Therefore, there are 40 students in Ms. Pena's class.