Difference between revisions of "2021 JMPSC Accuracy Problems/Problem 10"
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Latest revision as of 17:24, 11 July 2021
Contents
Problem
In a certain school, each class has an equal number of students. If the number of classes was to increase by , then each class would have
students. If the number of classes was to decrease by
, then each class would have
students. How many students are in each class?
Solution
Let the number of total students by , and number of classes by
. Thus, our problem implies that
We solve this system of linear equations to get and
. Thus, our answer is
.
~Bradygho
Solution 2
We have the number of classes is , so
, or
. Plugging back the total number of students is
, so the answer is
~Geometry285
See also
The problems on this page are copyrighted by the Junior Mathematicians' Problem Solving Competition.