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July 4th, 2018, 10:55 PM   #1
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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?
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July 5th, 2018, 07:14 AM   #2
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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
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July 5th, 2018, 05:43 PM   #3
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Thanks, Denis McField!
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July 5th, 2018, 05:47 PM   #4
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Bienvenu, Monsieur LaMouche!
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July 10th, 2018, 12:31 PM   #5
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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".
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July 10th, 2018, 12:37 PM   #6
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You have 2 bottles.
One contains 5 liters, the other contains 3 liters.
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July 10th, 2018, 12:58 PM   #7
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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.
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July 10th, 2018, 01:51 PM   #8
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Quote:
Originally Posted by skipjack View Post
or just half-fill each bottle.
Illegal
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July 10th, 2018, 09:55 PM   #9
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How does one fill it, then, without half-filling it first?
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July 11th, 2018, 04:38 AM   #10
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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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