2015 AMC 10B Problems/Problem 4

Problem 4

Four siblings ordered an extra large pizza. Alex ate $\frac15$ , Beth $\frac13$ , and Cyril $\frac14$ of the pizza. Dan got the leftovers. What is the sequence of the siblings in decreasing order of the part of pizza they consumed?

$\textbf{(A) } \text{Alex, Beth, Cyril, Dan}$ $\textbf{(B) } \text{Beth, Cyril, Alex, Dan}$

$\textbf{(C) } \text{Beth, Cyril, Dan, Alex}$ $\textbf{(D) } \text{Beth, Dan, Cyril, Alex}$

$\textbf{(E) } \text{Dan, Beth, Cyril, Alex}$

Solution

Let the total amount of slices be $60$ . Then we know Alex ate $12$ , Beth ate $20$ , Cyril ate $15$ , and Dan ate the remaining, or $13$ . Then the sequence in decreasing order is $\boxed{\textbf{(C)} \text{Beth, Cyril, Dan, Alex}}$ .

2015 AMC 10B (Problems • Answer Key • Resources)
Preceded by Problem 3	Followed by Problem 5
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25
All AMC 10 Problems and Solutions

The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.

Page

Toolbox

Search

2015 AMC 10B Problems/Problem 4

Problem 4

Solution

See Also