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

(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

## 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 = $\textdollar{719}$.