Problem:
How many different combinations of bills and bills can be used to make a total of Order does not matter in this problem.
Answer Choices:
A.
B.
C.
D.
E.
Solution:
Since the total is odd, there must be an odd number of bills. One bill plus six bills is a solution, as is three bills plus one bill. Five bills exceeds , so these are the only two combinations that work.
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions