] The item I had just bought cost 29 cents. I gave the ] cashier a dollar bill, and she gave me two quarters, two ] dimes, and a penny in change. She could just as well have ] given me seven dimes and a penny or some other ] combination of coins adding up to 71 cents, but there's ] no way she could have made change with fewer than five ] coins. ] ] Most businesses in the United States make change using ] just four different types of coins: 1 cent (penny), 5 ] cents (nickel), 10 cents (dime), and 25 cents (quarter). ] This distribution of coinage suggests an interesting ] question: Is it the most efficient way to make change? In ] other words, is this the optimal choice of coin values ] for minimizing the number of coins required to handle ] typical transactions? ] ] Computer scientist Jeffrey Shallit of the University of ] Waterloo has worked out an answer. In the current issue ] of the Mathematical Intelligencer, he contends that "what ] the U.S. needs is an 18-cent piece." Math Trek : Coins for Making Change Efficiently, Science News Online, May 10, 2003 |