Respuesta :
i've attached an image that shows how to solve this problem! i hope this helps you out!

Answer:
There are [tex]18[/tex] students
Step-by-step explanation:
This problem is a word problem which bothers on the fractions and mixed fraction
We can solve this problem by first converting all mixed fraction to proper fraction
converting [tex]22\frac{1}{2} cups[/tex] to proper fraction we have [tex]\frac{25}{2}[/tex]
converting [tex]1\frac{1}{4} cups[/tex] to proper fraction we have [tex]\frac{5}{4}[/tex]
Given data
number of cups = [tex]\frac{45}{2} cups[/tex]
number of cups to be received per student = [tex]\frac{5}{4} cups[/tex]
To calculate the number of students we have to divide the number of cups by the number of cups received per student we have
[tex]= \frac{\frac{45}{2} }{\frac{5}{4} } \\= \frac{45}{2} *\frac{4}{5} = 9*2\\\\= 18[/tex]