A man walks into a bar in, sets down two identical US bills on the counter, and makes an order. He asks for one rum, two margaritas, one vodka, two Pepsis, one lemonade, and three waters.
The bartender, who always gives change back in the minimum number of coins and bills possible, gives him two bills and one coin in change, then goes to prepare his drinks.
The man realizes that if he had paid the bartender with only one of any larger bill, he would not have received the same change. When the bartender returns, the man takes his drinks and leaves the bar.
The man returns home and decides to challenge his wife. He tells her what he ordered, how much it cost, and how much change he received. Then he gives her the following seven clues:
1. For every one of a specific drink bought, a customer can buy another of the same drink for half price. (When necessary, the tab is rounded up to the nearest penny after all drinks have been ordered.)
2. If a customer buys five vodkas or one of any other drink, the bartender does not have to give any coins with the change
3. If he had bought one lemonade, one margarita, or one lemonade and two margaritas with the amount he paid for his order, the bartender would have given him back no fewer than six bills
4. If he had added a second rum to his order, the total number of bills plus the total number of coins the bartender would have given him back would be no fewer than six
5. The second of any alcoholic drink never costs less than any non-alcoholic drink
6. No drink costs more than the first margarita
7. Three waters cost less than the first of any other drink
Finally, he asks his wife how much each drink cost him.
How much does each drink cost, and which clue does the wife not need to determine the cost of each drink?
Assume that margaritas, vodkas, and rums are the only alcoholic drinks; $1, $5, $10, $20, $50, and $100 bills are the only US bills; and 1, 5, 10, and 25 cent coins are the only US coins.