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Question

Mr. Kohl has a beaker containing n milliliters of solution to distribute to the students in his chemistry class. If he gives each student 3 milliliters of solution, he will have 5 milliliters left over. In order to give each student 4 milliliters of solution, he will need an additional 21 milliliters. How many students are in the class?

A
16
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B
21
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C
23
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D
26
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Solution

The correct option is D 26

Let c be the number of students in Mr. Kohl’s class.

The conditions described in the question can be represented by the equations n=3c+5 and n+21=4c.

Substituting n=3c+5 in the second equation n+21=4c gives:

3c+5+21=4c

c=26

Hence, there are 26 students in the class.


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