Problem:
Four siblings ordered an extra large pizza. Alex ate , Beth , and Cyril of the pizza. Dan got the leftovers. What is the sequence of the siblings in decreasing order of the part of the pizza they consumed?
Answer Choices:
A. Alex, Beth, Cyril, Dan
B. Beth, Cyril, Alex, Dan
C. Beth, Cyril, Dan, Alex
D. Beth, Dan, Cyril, Alex
E. Dan, Beth, Cyril, Alex
Solution:
After the first three siblings ate, there was of the pizza left for Dan to eat, so Dan ate more than but less than of the pizza. Because , the order is .
The problems on this page are the property of the MAA's American Mathematics Competitions