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Topic: A Weighty Problem (Read 5191 times) |
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MpAdvisor
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A Weighty Problem
« on: Feb 20th, 2013, 8:39pm » |
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I have ten boxes which I want to pack into crates. Each crate can carry a maximum of 25 kg.
But I only have three crates, and the total weight of the boxes is 75kg:
15 kg, 13kg, 11 kg, 10 kg, 9 kg, 8 kg, 4 kg, 2 kg, 2kg, 1 kg
How can I pack the boxes into the crates?
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pex
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Re: A Weighty Problem
« Reply #1 on: Feb 21st, 2013, 2:28am » |
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Looks like it can be done in ten different ways... any additional constraints?
| hidden: | 15+10 = 13+11+1 = 9+8+4+2+2
15+10 = 13+9+2+1 = 11+8+4+2
15+10 = 13+8+4 = 11+9+2+2+1
15+10 = 13+8+2+2 = 11+9+4+1
15+9+1 = 13+10+2 = 11+8+4+2
15+9+1 = 13+8+4 = 11+10+2+2
15+9+1 = 13+8+2+2 = 11+10+4
15+8+2 = 13+11+1 = 10+9+4+2
15+8+2 = 13+10+2 = 11+9+4+1
15+8+2 = 13+9+2+1 = 11+10+4 |
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sc1ndy
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Re: A Weighty Problem
« Reply #2 on: Feb 25th, 2013, 2:36am » |
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11 + 9 + 4 + 1
13 + 2 + 10
15 + 8 + 2
You've added an extra 2kg.
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pfeinstein
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Re: A Weighty Problem
« Reply #3 on: Feb 26th, 2013, 3:37am » |
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For example:
Crate 1:
15+9+1
Crate 2:
13+10+2
Crate 3:11+8+4+2
But there are other ways too.
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A Wikipedia fan, I contribute regularly there on mechanical engineering & handle corrosion resistant valves at alloy-valves.com.
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Jacob Black
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Re: A Weighty Problem
« Reply #4 on: Mar 12th, 2013, 3:43am » |
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The distribution can be as follows:
1st crate: 15kg + 9kg + 1kg
2ndcrate: 13kg + 10kg + 2kg
3rd crate: 11kg + 8kg + 2kg + 4kg
or
1st crate: 15kg + 10 kg
2ndcrate: 13kg + 9kg + 2kg + 1kg
3rd crate: 11kg + 8kg + 2kg + 4kg
0r
1st crate: 15kg + 8kg + 2kg
2ndcrate: 13kg + 9kg + 2kg + 1kg
3rd crate: 11kg +10kg + 4kg
etc
// spam link removed by moderator --SMQ
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| « Last Edit: Mar 18th, 2013, 6:23am by SMQ » |
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Apala
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Re: A Weighty Problem
« Reply #5 on: Mar 13th, 2013, 12:35am » |
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{Crate 1}, {Crate 2}, {Crate 3}
{15,10}, {13,8,4}, {11,9,2,2,1}
{15,10}, {13,11,1}, {9,8,4,2,2}
{15,10}, {11,8,4,2}, {13,9,2,1}
{15,10}, {11,9,4,1}, {13,8,2,2}
{11,10,4}, {15,8,2}, {13,9,2,1}
{11,10,4}, {15,9,1}, {13,8,2,2}
{13,8,4}, {15,9,1}, {11,10,2,2}
{13,10,2}, {15,8,2}, {11,9,4,1}
{13,10,2}, {15,9,1}, {11,8,4,2}
{13,11,1}, {15,8,2}, {10,9,4,2}
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sanaya
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Re: A Weighty Problem
« Reply #6 on: Sep 3rd, 2013, 1:52am » |
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I find many different solutions some posted already by other members.
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Best riddles
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Grimbal
wu::riddles Moderator
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Re: A Weighty Problem
« Reply #7 on: Oct 30th, 2014, 1:30am » |
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on Oct 27th, 2014, 4:33am, Annettagiles wrote:| In each crate you can load 25kgs |
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Another post by Annettagiles that doesn't make sense and got deleted.
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