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 July 4th, 2018, 10:55 PM #1 Senior Member     Joined: Nov 2010 From: Indonesia Posts: 2,000 Thanks: 132 Math Focus: Trigonometry [ASK] Exact Measure Using Two Bottles Someone wants to take 4 liters of water, but he only has two 5-liters and 3-liters bottles. How is he able to measure 4 liters with only those bottles?
 July 5th, 2018, 07:14 AM #2 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 13,102 Thanks: 907 3 : 5 ------ 0 : 0 3 : 0 0 : 3 3 : 3 1 : 5 1 : 0 0 : 1 3 : 1 0 : 4 Thanks from jonah and Monox D. I-Fly
 July 5th, 2018, 05:43 PM #3 Senior Member     Joined: Nov 2010 From: Indonesia Posts: 2,000 Thanks: 132 Math Focus: Trigonometry Thanks, Denis McField!
 July 5th, 2018, 05:47 PM #4 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 13,102 Thanks: 907 Bienvenu, Monsieur LaMouche!
 July 10th, 2018, 12:31 PM #5 Math Team   Joined: Jan 2015 From: Alabama Posts: 3,261 Thanks: 894 The phrasing "two 5-liters and 3-liters bottles" is ambiguous. I first read it as "two 5-liter bottles and a 3-liter bottle". But only one 5-liter bottle is needed. The original post should have said "two bottles, one 5-liters and the other 3-liters" or just "a 5 liter bottle and a 3-liter bottle".
 July 10th, 2018, 12:37 PM #6 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 13,102 Thanks: 907 You have 2 bottles. One contains 5 liters, the other contains 3 liters.
 July 10th, 2018, 12:58 PM #7 Global Moderator   Joined: Dec 2006 Posts: 19,502 Thanks: 1739 3 : 5 ----- 0 : 0 0 : 5 3 : 2 0 : 2 2 : 0 2 : 5 3 : 4 0 : 4 (if required) or just half-fill each bottle.
July 10th, 2018, 01:51 PM   #8
Math Team

Joined: Oct 2011

Posts: 13,102
Thanks: 907

Quote:
 Originally Posted by skipjack or just half-fill each bottle.
Illegal

 July 10th, 2018, 09:55 PM #9 Global Moderator   Joined: Dec 2006 Posts: 19,502 Thanks: 1739 How does one fill it, then, without half-filling it first?
 July 11th, 2018, 04:38 AM #10 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 13,102 Thanks: 907 Ahhhhh....that's why they pay you the big bucks!!!!!!!!!!!!! Idea: fill container, then tilt it such that the water level line from bottom side to opposite top side is a straight line... like a rectangle's diagonal...leaves exactly 1/2 contents Then 2 moves only: 1: fill C5, tilt: 2.5 left 2: fill C3, tilt while holding directly above C5; the escaping 1.5 will fall in C5, so C5 ends up with 4 Impressed?????

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