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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?

Verified Answer :

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Answer:

There are \(18\) 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 \(22\frac{1}{2} cups\) to proper fraction we have  \(\frac{25}{2}\)

converting \(1\frac{1}{4} cups\) to proper fraction we have \(\frac{5}{4}\)

Given data

number of cups = \(\frac{45}{2} cups\)

number of cups to be received per student = \(\frac{5}{4} cups\)

To calculate the number of students we have to divide the number of cups by the number of cups received per student we have

\(= \frac{\frac{45}{2} }{\frac{5}{4} } \\= \frac{45}{2} *\frac{4}{5} = 9*2\\\\= 18\)