Sunday brain teaser - how much did they cost?

By
Real Estate Agent with Dominion Real Estate Partners, LLC, Scottsdale, AZ SA582226000

     A customer at a 7-11 store selected four items to buy, and was told that the cost was 7.11. He was curious that the cost was the same as the store name, so he enquired as to how the figure was derived. The clerk said that he had simply multiplied the prices of the four individual items. The customer protested that the four prices should have been ADDED, not Scottsdale and Cave Creek real estateMULTIPLIED. The clerk said that that was OK with him, but, the result was still the same: exactly 7.11. What were the four prices?

 

     Sorry for a really tough one - but I've been far too easy on you all for the last couple of weeks.  BILL SPEAR- we need you!!!!!   If  any of you figure this really tough one out, feel free to write it below.

     Good luck - you're going to need it on this one.




Posted by

Juli Vosmik

Dominion Real Estate Partners, LLC

480-710-0739

 

 Scottsdale and Cave Creek Real Estate

 

 

Helping you make informed decisions whether buying or selling homes in Scottsdale, Cave Creek and north Phoenix Arizona.  I know the area - I live here.

 

A portion of all sales is donated to the various animal rescue and humane societies.

 

AZ license SA582226000

 

 

 

 
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Rainer
20,372
Eric Estate
JB Goodwin

OK - it took me a couple of minutes but I get

$1.20
$1.25
$1.50 
$3.16 
April 29, 2012 07:07 AM
Rainmaker
379,678
Larry O'Sullivan
We get homes sold
Rocky Mountain Realty, Sandy, UT

Juli - with or without tax?  Just joking ~ and delaying finding a solution. Brain too old.

April 29, 2012 07:10 AM
Rainmaker
647,632
Realty Works Temecula
Real Estate, Temecula, Murrieta, Menifee
Realty Works Temecula

Juli:  $1.7775   -  I know this is not really correct however it does work.  1.7775 x 4 - 7.11  

April 29, 2012 07:14 AM
Rainer
108,760
Marlis Landreth
Retired Tucson Realtor
Retired

You're kidding, right?  I'm not even going to use the excuse it's too early - it's just too hard. 

April 29, 2012 07:19 AM
Rainer
20,372
Eric Estate
JB Goodwin

FYI - 

You have 1 answer, two equasions (seemingly), but four possible varialbes.  At first glance, it seems impossible or too hard. 

I approached this by first converting the $7.11 to cents 711 - then I began to factor that number.  I won't go through that exercise, but ultimately that's what led to the solution.

 

Once I had the prime factors, some simple multiplication could be used to prove that no single number could be greater than 3.16.  I had my first answer.  

That left 3 variables and 3 equations, the first two, and a new third where the sum (only was less than 395).  Two fairly complex quadratic equations later I had an answer.  I had to use one quadratic as a variable in the other, and that is pretty confusing if you've never done it before.

 

Happy Sunday 

 

E

 

PS:  In a former life I was a biochemist.

April 29, 2012 07:59 AM
Rainmaker
1,885,338
Roy Kelley
Roy and Dolores Kelley Photographs
Retired Real Estate Broker, Maryland Blogger

I will have to watch for the correct answer.

Have an outstanding week, with your camera in hand.

April 29, 2012 08:02 AM
Ambassador
1,440,086
Liz and Bill Spear
RE/MAX Elite Warren County OH (Cincinnati/Dayton)
RE/MAX Elite 513.265.3004 www.LizTour.com

Juli, Looks like Eric beat me to the punch, just didn't get here early enough to even try to figure it out :)

 

April 29, 2012 08:10 AM
Rainmaker
329,854
Sharon Lord
Argent Décor - AZ Vacation Home Furnishing Service
Argent Décor

Juli - I *know* you aren't putting out tough math problems this early on a Sunday.....right...?  ;)

I have no trouble believing Eric was a biochemist in his past life - heh!

April 29, 2012 09:57 AM
Rainmaker
629,176
Liz Wallace
Broker C21 Sherlock Homes, Rockville Centre, LI, N
Century 21 Sherlock Homes

You think you have been going easy on us.  That's like Henry the 8th saying he was easy on his wives heads.

April 29, 2012 10:30 AM
Rainmaker
706,381
Juli Vosmik
Scottsdale/Cave Creek, AZ real estate 480-710-0739
Dominion Real Estate Partners, LLC, Scottsdale, AZ

Yes, everyone - Eric has the right numbers.  Thanks for explaining how you got it.

And, YES - you all deserved a TOUGH one for picking on me the last couple of weeks, LOL.  

 

Have a GREAT and productive week everyone.  

April 29, 2012 11:47 AM
Rainmaker
839,534
Joshua Zargari
MJ Decorators Workshop
MJ Decorators Workshop LI staging and home decorating

Good evening Juli.

I see that Eric got the correct answer.

Too late for me...

April 29, 2012 04:43 PM
Rainmaker
706,381
Juli Vosmik
Scottsdale/Cave Creek, AZ real estate 480-710-0739
Dominion Real Estate Partners, LLC, Scottsdale, AZ

Sometimes it pays to be fashionably late, Joshua, LOL. 

April 29, 2012 05:09 PM
Ambassador
1,088,791
Joni Staples
Your Huntsville / Lake Livingston Area REALTOR®
Berkshire Hathaway Home Services - Anderson Properties
It's way too early to stress my brain this much! I havent even had my coffee yet!
April 30, 2012 05:18 AM
Rainmaker
706,381
Juli Vosmik
Scottsdale/Cave Creek, AZ real estate 480-710-0739
Dominion Real Estate Partners, LLC, Scottsdale, AZ

Grab some coffee and try it, Joni, LOL.  

April 30, 2012 12:14 PM
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Rainmaker
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Juli Vosmik

Scottsdale/Cave Creek, AZ real estate 480-710-0739
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