Problem:
Ike and Mike go into a sandwich shop with a total of to spend. Sandwiches cost each and soft drinks cost each. Ike and Mike plan to buy as many sandwiches as they can, and use any remaining money to buy soft drinks. Counting both sandwiches and soft drinks, how many items will they buy?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
Ike and Mike can buy sandwiches for , so they can buy sandwiches for . This leaves them with , which is not enough to buy another sandwich, but it is enough to buy soft drinks. The total number of items they will buy is .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions