Difference between revisions of "2015 AMC 10B Problems/Problem 4"

Revision as of 17:55, 4 March 2015

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)
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 ==See Also==
-{{AMC10 box|year=2015|ab=B|before=Problem 3|num-a=5}}
+{{AMC10 box|year=2015|ab=B|num-b=3|num-a=5}}
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Difference between revisions of "2015 AMC 10B Problems/Problem 4"

Revision as of 17:55, 4 March 2015

Problem 4

Solution

See Also