DivineNathicana Posted February 25, 2005 Report Share Posted February 25, 2005 Three jars contain 19, 13, and 7 quarts, respectively. The first is empty, the others full. How can one measure out 10 quarts, using no other vessels? You cannot approximate, i.e. you cannot fill the 19 quart jar halfway judging by sight. The solution must be an easy and organized one. All work must be shown. --------------------------------------------------------------------------------------------------------- I got an answer, but one has to hold his finger to the jar in order to keep track of where the waterline was before he poured more water in it... Blah blah blah, basically, it's shaky. So I would greatly appreciate any help. Thanks guys! - Alisa Link to comment Share on other sites More sharing options...
Fishteacher73 Posted February 25, 2005 Report Share Posted February 25, 2005 19 13 719 13 019 6 719 6 019 0 618 0 718 7 012 13 012 6 75 13 718 0 718 0 05 13 00 13 50 11 77 11 07 4 714 4 011 13 011 6 711 6 011 0 610 0 710 0 0 Perhaps there may be a shorter way.....but here's one..... Link to comment Share on other sites More sharing options...
Tormod Posted February 25, 2005 Report Share Posted February 25, 2005 But doesn't it start out at 0 13 7? Link to comment Share on other sites More sharing options...
Fishteacher73 Posted February 25, 2005 Report Share Posted February 25, 2005 Oops.... I guess I need to learn to read better..... :cup: Link to comment Share on other sites More sharing options...
DivineNathicana Posted February 25, 2005 Author Report Share Posted February 25, 2005 Yeah, it starts out with 0,13,7, so 20 quarts total. Blah I still can't get it without having to mark off water levels, and I'm not sure if that's allowed. = / Thanks for the help, though. - Alisa Link to comment Share on other sites More sharing options...
Turtle Posted February 25, 2005 Report Share Posted February 25, 2005 ___I think I can do this. You must pour back & forth in a certain order.:cup: Link to comment Share on other sites More sharing options...
C1ay Posted February 25, 2005 Report Share Posted February 25, 2005 Three jars contain 19, 13, and 7 quarts, respectively. The first is empty, the others full. How can one measure out 10 quarts, using no other vessels? You cannot approximate, i.e. you cannot fill the 19 quart jar halfway judging by sight. The solution must be an easy and organized one. All work must be shown. --------------------------------------------------------------------------------------------------------- I got an answer, but one has to hold his finger to the jar in order to keep track of where the waterline was before he poured more water in it... Blah blah blah, basically, it's shaky. So I would greatly appreciate any help. Thanks guys! - AlisaHere is one solution. Poor back and forth as follows: 0 13 7 13 0 7 13 7 0 6 7 7 6 13 1 19 0 1 19 1 0 12 1 7 12 8 0 5 8 7 5 13 2 18 0 2 18 2 0 11 2 7 11 9 0 4 9 7 4 13 3 17 0 3 17 3 0 10 3 7 Link to comment Share on other sites More sharing options...
Turtle Posted February 25, 2005 Report Share Posted February 25, 2005 ___Nice! Now I don't have to bother.:cup: Link to comment Share on other sites More sharing options...
DivineNathicana Posted February 25, 2005 Author Report Share Posted February 25, 2005 Thanks! I'll go try that out. Link to comment Share on other sites More sharing options...
Turtle Posted February 26, 2005 Report Share Posted February 26, 2005 ___If you like counting problems, I refer you to a real world counting problem I set forth in the thread "Mathemagical Box". I have presented there sufficient information for you to arrive at a solution. A solution I have not bothered to find (yet). I entertain your solutions dear Reader.:eek: Link to comment Share on other sites More sharing options...
Kent Posted February 27, 2005 Report Share Posted February 27, 2005 Three jars contain 19, 13, and 7 quarts, respectively. The first is empty, the others full. How can one measure out 10 quarts, using no other vessels? You cannot approximate, i.e. you cannot fill the 19 quart jar halfway judging by sight. The solution must be an easy and organized one. All work must be shown. It can never be done. You cannot do it because by addition(or subtraction) of two odd number will always produce an even number. since 19 is odd, it is an impossible tast. . Link to comment Share on other sites More sharing options...
C1ay Posted February 27, 2005 Report Share Posted February 27, 2005 It can never be done. You cannot do it because by addition(or subtraction) of two odd number will always produce an even number. since 19 is odd, it is an impossible tast. . Did you see the solution in post #7 above? Link to comment Share on other sites More sharing options...
Kent Posted February 27, 2005 Report Share Posted February 27, 2005 Did you see the solution in post #7 above? No, but i just did after you mention it to me. The solution from post 7 is wrong. First, there is not way to subtract the water. second, if you add the water, there is no way to separate them again. My answer is the right answer. Link to comment Share on other sites More sharing options...
C1ay Posted February 27, 2005 Report Share Posted February 27, 2005 No, but i just did after you mention it to me. The solution from post 7 is wrong. First, there is not way to subtract the water. second, if you add the water, there is no way to separate them again. My answer is the right answer. Please illustrate then. My solution clearly leads to a container with exactly 10 quarts. Point out the exact flaw in the sequence that led to it if you are going to claim it won't work. Link to comment Share on other sites More sharing options...
Kent Posted February 27, 2005 Report Share Posted February 27, 2005 Please illustrate then. My solution clearly leads to a container with exactly 10 quarts. Point out the exact flaw in the sequence that led to it if you are going to claim it won't work. My english is not good. Perhaps you can eloberate your method, and i can point out your flaws. Three jars contain 19, 13, and 7 quarts, respectively. The first is empty, the others full. How can one measure out 10 quarts, using no other vessels? Ok. i might have misunderstand the question. i assume you suppost to form a 19 quart from the 13 and 7 quart? Link to comment Share on other sites More sharing options...
C1ay Posted February 28, 2005 Report Share Posted February 28, 2005 My english is not good. Perhaps you can eloberate your method, and i can point out your flaws. What's to elaborate on? THe left column is the 19 quart container, the middle is the 13 and the right column is the 7. Start by pouring the 13 quart into the 19. Next pour the 7 into the 13. Next pout 7 of the 13 from the 19 quart container into the 7 quart container. Next fill the 13 from the 7 leaving 1 in the 7, etc. Each step shows only 1 pour. Link to comment Share on other sites More sharing options...
pgrmdave Posted February 28, 2005 Report Share Posted February 28, 2005 There is a way to subtract the water - if you empty the 13 container into the 7 container - you then have a container with 6 and a container with 7. You can dump out either one. Link to comment Share on other sites More sharing options...
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