Author Topic: GRECO 4: The Puzzle is Right #4 [Answer]  (Read 1106 times)

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Offline apeminkie

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GRECO 4: The Puzzle is Right #4 [Answer]
« on: May 20, 2008, 12:43:54 PM »
While there aren't that many puzzles left, there will still be more opportunities to earn T-Shirt Raffle Entries in the future.  But why not guarantee an entry by solving this simple puzzle?

For the sake of fairness, please don't post hints or answers to this brainteaser below.
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Given the facts below, can you win this playing of "Take Two"?



[1] The clock costs $777 less than the dinette.
[2] Two-thirds the price of the sofa is the price of the dinette.
[3] The sofa is $818 more than the cabinet.
[4] The cabinet costs twice as much as the clock.
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In order to win your raffle entry, you must send an E-Mail (to the address in my profile) or a Private Message to "apeminkie" that includes your Golden-Road.net username and the two prizes you must choose that will win the Pricing Game above.  Your entry must be received in my E-Mail Inbox, or Golden-Road.net Private Message Inbox, on or before Friday, May 30, 2008.  Only one entry to this puzzle is permitted per username, so be sure that you check your work before you send a solution to me.  Good luck!
« Last Edit: November 17, 2008, 10:35:29 PM by apeminkie »

Offline apeminkie

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GRECO 4: The Puzzle is Right #4 [ANSWER]
« Reply #1 on: November 17, 2008, 10:27:09 PM »
Sorry it looks so math-y, but this one required plenty of algebra in order to solve.
CLOCK = DINETTE - $777
2/3*(SOFA) = DINETTE
SOFA = CABINET + $818
CABINET = 2*(CLOCK)

SOFA = CABINET + $818
SOFA = 2*(CLOCK) + $818
SOFA = 2*(DINETTE - $777) + $818 = 2*(DINETTE) - $1554 + $818 = 2*(DINETTE) - $736
SOFA = 2*[2/3*(SOFA)] - $736 = 4/3*(SOFA) - $736
-1/3*(SOFA) = -$736
SOFA = $2208

$2208 = CABINET + $818
CABINET = $1390

$1390 = 2*(CLOCK)
CLOCK = $695

$695 = DINETTE - $777
DINETTE = $1472

This means that the two prizes that add up to the total of $2167 are the CLOCK and the DINETTE.