2021 JMPSC Accuracy Problems/Problem 10
Contents
[hide]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.