2014 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 8

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Problem

A certain country uses bills of denominations equivalent to $\textdollar{15}$ and $\textdollar{44}$. The ATM machines in this country can give at a single withdrawer any amount you request as long as both bills are used. Show that you can withdraw $\textdollar{x}$ if and only if you cannot withdraw $\textdollar{y}$, where x + y = $\textdollar{719}$.


Solution

See also

2014 UNM-PNM Contest II (ProblemsAnswer KeyResources)
Preceded by
Problem 7
Followed by
Problem 9
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All UNM-PNM Problems and Solutions
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