Problem:
A ticket to a school play costs dollars, where is a whole number. A group of graders buys tickets costing a total of , and a group of graders buys tickets costing a total of . How many values for are possible?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
The cost of an individual ticket must divide 48 and 64. The common factors of 48 and 64 are , and 16. Each of these may be the cost of one ticket, so there are possible values for .
The problems on this page are the property of the MAA's American Mathematics Competitions