91Ó°ÊÓ

The infamous band Slippery Even When Dry ended their concert and checked into the Fuzzy Fig Motel. The guys in the band (Spike, Slip, and Milly) decided to share a room. They were told by Chip, the night clerk who was taking a home- study course on animal husbandry, that the room cost \(\$ 25\) for the night. Milly, who took care of the finances, collected \(\$ 10\) from each band member and gave Chip \(\$ 30\). Chip handed Milly the change, \(\$ 5\) in singles. Milly, knowing how bad Slip and Spike were at arithmetic, pocketed two of the dollars, turned to the others, and said, "Well guys, we got \(\$ 3\) change, so we each get a buck back." He then gave each of the other two members a dollar and pocketed the last one for himself. Once the band members left the office, Chip, who witnessed this little piece of deception, suddenly realized that something strange had just happened. Each of the three band members first put in \(\$ 10\) so there was a total of \(\$ 30\) at the start. Then Milly gave each guy and himself \(\$ 1\) back. That means that each person put in only \(\$ 9\), which is a total of \(\$ 27\) ( \(\$ 9\) from each of the three). But Milly had skimmed off \(\$ 2\), so that gives a total of \(\$ 29\). But there was \(\$ 30\) to start with. Chip wondered what happened to that extra dollar and who had it. Can you please resolve and explain the issue to Chip?

Whom do you trust? Congresswoman Smith opened the Post and saw that a bean- counting scandal had been leaked to the press. Outraged, Smith immediately called an emergency meeting with the five other members of the Special Congressional Scandal Committee, the busiest committee on Capitol Hill. Once they were all assembled in Smith's office, Smith declared, "As incredible as it sounds, I know that three of you always tell the truth. So now I'm asking all of you, Who spilled the beans to the press?" Congressman Schlock spoke up, "It was either Wind or Pocket." Congressman Wind, outraged, shouted, "Neither Slie nor I leaked thes candal." Congressman Pocket then chimed in, "Well, both of you are lying!" This provoked Congressman Greede to say, "Actually, I know that one of them is lying and the other is telling the truth." Finally, Congressman Slie, with steadfast eyes, stated, "No, Greede, that is not true." Assuming that Congresswoman Smith's first declaration is true, can you determine who spilled the beans?

Getting a pole on a bus. For his 13 th birthday, Adam was allowed to travel down to Sarah's Sporting Goods store to purchase a brand new fishing pole. With great excitement and anticipation, Adam boarded the bus on his own and arrived at Sarah's store. Although the collection of fishing poles was tremendous, there was only one pole for Adam and he bought it: a 5-foot, one- piece fiberglass "Trout Troller570 "fi shing pole. When Adam's return bus arrived, the driver reported that Adam could not board the bus with the fishing pole. Objects longer than 4 feet were not allowed on the bus. Adam remained at the bus stop holding his beautiful 5 -foot Trout Troller. Sarah, who had observed the whole ordeal, rushed out and said, "We'll get your fishing pole on the bus!" Sure enough, when the same bus and the same driver returned, Adam boarded the bus with his fishing pole, and the driver welcomed him aboard with a smile. How was Sarah able to have Adam board the bus with his 5 -foot fishing pole without breaking or bending the bus-line rules or the pole?

A shaky story. Stacy and Sam Smyth were known for throwing a heck of a good party. At one of their wild gatherings, five couples were present (this included the Smyths, of course). The attendees were cordial, and some even shook hands with other guests. Although we have no idea who shook hands with whom, we do know that no one shook hands with themselves and no one shook hands with his or her own spouse. Given these facts, a guest might not shake anyone's hand or might shake as many as eight other people's hands. At midnight, Sam Smyth gathered the crowd and asked the nine other people how many hands each of them had shaken. Much to Sam's amazement, each person gave a different answer. That is, someone didn't shake any hands, someone else shook one hand, someone else shook two hands, someone else shook three hands, and so forth, down to the last person, who shook eight hands. Given this outcome, determine the exact number of hands that Stacy Smyths hook.