# Difference between revisions of "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 $\boxed{\textbf{(C)} \text{Beth, Cyril, Dan, Alex}}$.