Gos Brings Y'all A Puzzle...

Are you new to HelpingTeens.org? Feel free to stop in here and introduce yourself! Have a question that doesn't seem to fit anywhere else? Post it here.
User avatar
Paris In Flames
Veteran
Posts: 5387
Joined: Sat Apr 19, 2003 12:52 am
Contact:

Re: Gos Brings Y'all A Puzzle...

Post by Paris In Flames »

xMOSHx xHELLA HARDCOREx xBREAKDOWNx



The tragedy is the ignorance behind the clean casket

On the outside, they look so good

They're walking to Wallstreet in a straightjacket...
User avatar
Gostridah
Loyal
Posts: 265
Joined: Mon Jul 28, 2003 7:59 pm
Contact:

Re: Gos Brings Y'all A Puzzle...

Post by Gostridah »

Nupe, Jenna hasn't even tried, so no solution. :P A hint instead :shifty:



To be able to make the mix you have to somehow or other get 7l of water in a container, to throw it into the juice container. For which values of n can you turn it into 7 using the legal operations you have? ;)
User avatar
MattMan
Veteran
Posts: 1130
Joined: Sun Jan 26, 2003 6:12 pm
Contact:

Re: Gos Brings Y'all A Puzzle...

Post by MattMan »

ok you fill the empty one with water so that it matches the orange juice (thus having 3L water, 3L orange juice, and (n-3)L of water). What was formerly in the other container must be a multiple of 3 plus one to be able to solve. Therefore, 3x+1=n. x must be equal to or greater than 2



if n is a whole number:



if x=2, then you simply mix all of the liquids together.

if x=3,4,5... then you empty the formerly empty container and refill it with water up to 3L until you deduce that there is one litre of water in the third container, at which time you keep the water in the formerly empty container, and mix all of the water with the orange juice.
User avatar
Gostridah
Loyal
Posts: 265
Joined: Mon Jul 28, 2003 7:59 pm
Contact:

Re: Gos Brings Y'all A Puzzle...

Post by Gostridah »

See, Jenn? Not so hard :D good job Matt.



Hmm...



5. A number is good if its digits can be separated in two groups so that the sum of the numbers in one group is equal to the sum of the numbers in the other group. For example, 21300 is good because 2+0+1=3+0, and 187 is good because 8=1+7, but 125 isn't good.



Find the smallest natural number n so that n is good and n+1 is also good.
Post Reply