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Sections of a Pizza

Source: 2015 amc 10b #4

February 26, 2015
geometryleast common multipleAMC

Problem Statement

Four siblings ordered an extra large pizza. Alex ate 15\frac15, Beth 13\frac13, and Cyril 14\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? <spanclass=′latex−bold′>(A)</span>Alex, Beth, Cyril, Dan<span class='latex-bold'>(A) </span> \text{Alex, Beth, Cyril, Dan} <spanclass=′latex−bold′>(B)</span>Beth, Cyril, Alex, Dan<span class='latex-bold'>(B) </span> \text{Beth, Cyril, Alex, Dan} <spanclass=′latex−bold′>(C)</span>Beth, Cyril, Dan, Alex<span class='latex-bold'>(C) </span> \text{Beth, Cyril, Dan, Alex} <spanclass=′latex−bold′>(D)</span>Beth, Dan, Cyril, Alex<span class='latex-bold'>(D) </span> \text{Beth, Dan, Cyril, Alex} <spanclass=′latex−bold′>(E)</span>Dan, Beth, Cyril, Alex<span class='latex-bold'>(E) </span> \text{Dan, Beth, Cyril, Alex}
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