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Posted: 1/8/2005 10:51:13 PM EDT
[Last Edit: 1/9/2005 1:18:28 AM EDT by All_Beef_Patty]
You are a veterinarian. You have purchased a large balance scale on ebay, but no weights were included. You want to use the balance scale to weigh animals. Assume the weight (in pounds) of every animal is an integer value less than 100.
A friend tells you that Balance Scale Weights R Us is a good place to purchase weights for balance scales. You visit BSWRU and talk to Rico, the mathematician turned weight salesman. Sensing that you're up to a unique challenge, he offers you two deals: 1. He has a standard weight set containing the following weights: 1, 1, 1, 1, 5, 10, 20, 20, and 50 pounds. He will sell this to you for $X. 2. Alternatively, he will custommake a set of magical math weights. Here's how the math weights work: Rico will sell you a combination of numbers and mathematical symbols. Then, he will combine them however you like and magically turn them into weights equal to the numerical answer. For example, if you buy a "7", a "2", and a "^" Rico could use them to create a 128pound (2^7) or 49pound (7^2) weight. However, once a weight is created, you are stuck with it. You can't uncombine or add to the formula. Rico has plenty of symbols, but he is in short supply of numbers. In fact, he only has 9s. Here are the prices for his numbers and symbols: Each "9" costs $1.00. Each simple arithmetic expression (+,,*,/) costs $0.25. His other arithmetic expressions (!,sqrt,^) cost $0.50 each. Parentheses are free. You're not exactly a pennypincher, but you're intrigued by Rico's challenge. You want to have enough weights to be able to be able to calculate the exact weight of any animal less than 100 pounds. (Remember they all have integer weight values.) What value of X makes the two alternatives equal? 


Someone should beat you with a textbook.



Been eating beef? Can you say "Mad Cow"



D. All of the above


International Scoutanything less is just a car

That's why I dropped out of math, they started mixing in the alphabet!! 


Crap. I tried...I fing tried to get this..God damn 

Me again... Happy New Year



That is the height of gayosity. If someone gave me that, I'd have to go out back and chop some wood or something. jkstexas2001

0


I'm not a Cowboy but I slept with a goat once Stgar15

It's late.
X=$43.00 


LOL. There's a reason I failed Algerbra 2. 

"Well, there's a reason they don't put the best steakhouse in town deep in the woods...Wax on." NorCal
ROAR!!!!!!!!! 
Just fooing around I came up w/ x =



Algebra I hate math. My worst subject. 


Nice try.... but no, it can be done with less than $32.50! Any other guesses? 


Ya know what I think...
I think someone surfed ARFCOM a little too long and did not get his math homework done, so he posts it here hoping that some one will solve it...because why would any one, normal, person want to post teasers like that for fun? Don't worry...I've done it too. 

Heckler and Koch firearms are like bunjee cords...you can never have too many.

See my edited answer. 


I'm at x=33. I must be missing something.
Steve 


Hint: you don't actually need, 1, 1, 1, 1, 5, 10, 20, 20, and 50. 


I'm down to x=16
Steve ETA: Value Quantity Price Total 9/9 1 2 2.25 4.50 sqrt(9) 3 2 1.50 3.00 9 9 2 1.00 2.00 9+9 18 2 2.50 5.00 9! 45 1 1.50 1.50 16.00 


edited do to this info 

It's accurate, compared to 'what'? a hand grenade?
 CAMPYBOB (in reference to the AR7) 
i think i did it for 19.75 not sure though.i dont feel like checking it.


"I'm sorry. Yes, energy field good!"

Alright, I am down to
back to the abbacus! shit 


9! isnt 45, its some obnoxiously large number 9!=9*8*7*6*5*4*3*2*1 

"I'm sorry. Yes, energy field good!"

doh! right, that's 9*8*7...
Dumass me Steve 


Now i'm back up to x=18.50.
Steve 


bah, i really havent found any method if there is one.


"I'm sorry. Yes, energy field good!"

Alright, I am at $17. 50 or $18.50 depending on the answer to a question I have.



...unclouded by conscience, remorse or delusions of morality.

Isn't 42 the answer to life, the universe and everything?


Be polite. Be professional. But, have a plan to kill everyone you meet.

i got 18 even. i dont know if im gonna try anymore.


"I'm sorry. Yes, energy field good!"

SOLUTION
We need only buy the integer powers of 3, from which we can add and subtract to form other numbers, by putting weight on the same or opposite sides of the scale respectively. This is also efficient because of their relationship to the number 9. 1=9/9 > $2.25 3=sqrt(9) > $1.50 9=9 > $1.00 27=9xsqrt(9) > $2.75 81=9x9 > $2.25 ______________________ Total: $9.75 


ok i was under the impression that you would have to pay to do the extra operations. i guess its too late for me to be up. 

"I'm sorry. Yes, energy field good!"

It's bad enough you give us an math problem at 4:00 am. You didn't have to go and make it a trick question too! Steve 


+1 

Good riddance to bad rubbish!

Gimme that book, when you are done!



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