Problem:
Doug and Dave shared a pizza with equally-sized slices. Doug wanted a plain pizza, but Dave wanted anchovies on half of the pizza. The cost of a plain pizza was , and there was an additional cost of for putting anchovies on one half. Dave ate all the slices of anchovy pizza and one plain slice. Doug ate the remainder. Each then paid for what he had eaten. How many more dollars did Dave pay than Doug?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
Each slice of plain pizza cost . Dave paid for the anchovies in addition to for the five slices of pizza that he ate, for a total of . Doug paid only for the three slices of pizza that he ate. Hence Dave paid dollars more than Doug.
The problems on this page are the property of the MAA's American Mathematics Competitions