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| Title: | Mathematics at DEC |
|
| Moderator: | RUSURE::EDP |
|
| Created: | Mon Feb 03 1986 |
| Last Modified: | Fri Jun 06 1997 |
| Last Successful Update: | Fri Jun 06 1997 |
| Number of topics: | 2083 |
| Total number of notes: | 14613 |
196.0. "HUXTABLE BRAINTEASE" by USMRW1::TOURIGNY () Fri Dec 28 1984 17:35
THREE MEN GO AWAY FOR A WEEKEND HUNTING TRIP. AS THEY ARE TRAVELING TO
THEIR DESTINATION, THEY STOPPED AT A HOTEL FOR THE NIGHT. THEY ASKED
FOR ONE ROOM. THE FRONT DESK CLERK SAID THAT THE ROOM COST $30 FOR
THE NIGHT. EACH OF THE MEN GAVE THE CLERK A TEN DOLLAR BILL.
WITH THE ROOM PAID FOR, THE FRONT DESK CLERK CALLED FOR THE BELLBOY.
THE CLERK SAID TO THE BELLBOY, "TAKE THESE THREE GENTLEMEN AND THEIR BAGS
UPSTAIRS TO THEIR ROOM".
THE FRONT DESK CLERK SUDDENLY REALIZED THAT HE OVERCHARGED THE THREE MEN
$5.00 FOR THE ROOM. HE CALLED THE BELLBOY OVER AND GAVE HIM FIVE ONE
DOLLAR BILLS AND TOLD HIM TO DELIVER THE MONEY TO THE THREE GENTLEMEN.
WHEN THE BELLBOY WAS IN THE ELEVATOR, HE REALIZED THAT THE THREE GENTLEMEN
NEGLECTED TO TIP HIM. WITH THIS THOUGHT, HE POCKETED $2.00 OF THE FIVE
ONE DOLLAR BILLS. WHEN HE ARRIVED AT THE GENTLEMEN'S ROOM, HE RETURNED
A ONE DOLLAR BILL TO EACH GENTLEMAN, EXPLAINING THAT THEY HAD BEEN
OVERCHARGED FOR THEIR ROOM.
EXPLAIN THIS:
IF EACH GENTLEMAN PAID $9.00 EACH FOR THE ROOM (AFTER REIMBURSEMENT),
AND THE BELLBOY POCKETED $2.00, WHAT HAPPENED TO THE EXTRA DOLLAR?
| T.R | Title | User | Personal
Name | Date | Lines |
|---|
| 196.1 | | PIPA::JANZEN | | Fri Dec 28 1984 19:28 | 6 |
| The burden of proof is on you to show that there is, indeed, an extra dollar.
The men paid the hotel $27, and the manager paid the bellhop (unwittingly)
$2.
Tom
|
| 196.2 | | TURTLE::GILBERT | | Sat Dec 29 1984 20:01 | 8 |
| What extra dollar? By the conservation of money (possible, as no governments
are involved in the problem), losses should equal gains:
losses gains
3 x $9 = $25 + $2
The error was in adding the $2 to the $27; it should've been subtracted, to
give the inn keeper's gain.
|
| 196.3 | | USMRW1::TOURIGNY | | Wed Jan 02 1985 11:05 | 1 |
| YOU HAVE THE EXACT THOUGHT PROCESS, WHICH IS THE ANSWER TO THIS PROBLEM.
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