Problem:
A number of students from Fibonacci Middle School are taking part in a community service project. The ratio of -graders to -graders is , and the ratio of -graders to -graders is . What is the smallest number of students that could be participating in the project?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
The number of -graders must be a multiple of both and , so it must be at least . If there are -graders, then there are -graders and -graders, for a total of students.
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions