Given:
There are between 24 and 40 students in a class.
The ratio of boys to girls is 4:7
To find:
The number of students in the class.
Solution:
Let the number of boys are girls are 4x and 7x respectively, where, x must be a positive integer because number of boys and girls is always a positive integer. Then, the total number of students is
[tex]\text{Total students}=4x+7x[/tex]
[tex]\text{Total students}=11x[/tex]
It means total number of students is multiply of 11.
Multiples of 11 are 11, 22, 33, 44, ... . So, multiples of 11 between 24 and 40 is 33.
Therefore, the total number of students in the class is 33.
