A kindergarten teacher has 22 1/2 cups of juice to be divided equally among her students. If each student is to receive 1 1/4 cups of juice, how many students are there?

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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]