BMAD Posted April 15, 2019 Report Share Posted April 15, 2019 I wish to share 30 identical individual sausages equally amongst 18 people. What is the minimum number of cuts I need to make? What is the minimum number of pieces I need to create? Quote Link to comment Share on other sites More sharing options...
1 wolfgang Posted May 27, 2019 Report Share Posted May 27, 2019 The common number between 30 and 18 is 90. So we bundle the sausages together and cut them into 3 equal parts, resulting 90 pieces. 90/18= 5 pieces for each person. Spoiler It looks simple Quote Link to comment Share on other sites More sharing options...
0 Thalia Posted April 15, 2019 Report Share Posted April 15, 2019 12 cuts, 42 pieces? Unless you want to line up the sausages and do one giant cut... Quote Link to comment Share on other sites More sharing options...
0 rocdocmac Posted April 15, 2019 Report Share Posted April 15, 2019 Spoiler 18 sausages uncut 12 sausages bundled together and a single 1/3 cut off (or 12 sausages with 1/3 cut off each individually) giving 24 pieces. Quote Link to comment Share on other sites More sharing options...
0 BMAD Posted April 15, 2019 Author Report Share Posted April 15, 2019 2 hours ago, Thalia said: Hide contents 12 cuts, 42 pieces? Unless you want to line up the sausages and do one giant cut... You have the right idea with your comment. I an designing a cut as a swipe of the knife, so lining them up and then cutting with one swipe would count as one cut. Quote Link to comment Share on other sites More sharing options...
0 Thalia Posted April 16, 2019 Report Share Posted April 16, 2019 So 1 cut then. Is a whole sausage considered a piece or just the partial ones? If whole sausages count, I stand by my original pieces count. If not, I think rocdocmac has it. Quote Link to comment Share on other sites More sharing options...
0 rocdocmac Posted April 16, 2019 Report Share Posted April 16, 2019 (edited) Spoiler Thalia, was your 42 a typo for 24 or the total of 24+18? Edited April 16, 2019 by rocdocmac Quote Link to comment Share on other sites More sharing options...
0 Thalia Posted April 17, 2019 Report Share Posted April 17, 2019 I was counting whole sausages as "pieces". So it was the sum. Quote Link to comment Share on other sites More sharing options...
0 bonanova Posted April 21, 2019 Report Share Posted April 21, 2019 Appears to be ... Spoiler Simplify to dividing 5 sausages for 3 people Denote a third of a sausage (whether cut or uncut) by [3]. Denote an uncut sausage by [3][3][3] and an intact 2/3 of a sausage by [3][3]. Three persons would be optimally served as follows: [3][3][3] [3][3] [3][3][3] [3] [3] [3][3][3] [3][3] The black sausages were not cut. Two sausages, the red one and the green one, were each cut once, creating four pieces. Do this 6 times. 12 cuts will have created 24 pieces. Quote Link to comment Share on other sites More sharing options...
0 Veridis Quo Posted August 2, 2020 Report Share Posted August 2, 2020 90x18/18 Quote Link to comment Share on other sites More sharing options...
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BMAD
I wish to share 30 identical individual sausages equally amongst 18 people. What is the minimum number of cuts I need to make? What is the minimum number of pieces I need to create?
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