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Topic: milk bottles (Read 359 times) |
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Benny
Uberpuzzler
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milk bottles
« on: Jun 28th, 2009, 1:23pm » |
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A government program allows people to collect empty milk bottles and exchange them for bottles full of milk. Four empty bottles may be exchanged for one full bottle. How many bottles of milk can a family drink if it has collected 24 empty bottles?
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If we want to understand our world — or how to change it — we must first understand the rational choices that shape it.
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MathsForFun
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Re: milk bottles
« Reply #1 on: Jun 28th, 2009, 2:23pm » |
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8. They trade 24 empty for 6 full, drink the milk, then they borrow 2 empty to make a total of 8 empty bottles. They trade these for 2 more full, they drink the milk, then they return the 2 empty bottles to their lender.
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towr
wu::riddles Moderator Uberpuzzler
Some people are average, some are just mean.
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Re: milk bottles
« Reply #2 on: Jun 28th, 2009, 3:11pm » |
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They can do that by lending just one bottle. If they're not allowed to lend, they can do 7.
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Wikipedia, Google, Mathworld, Integer sequence DB
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Grimbal
wu::riddles Moderator Uberpuzzler
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Re: milk bottles
« Reply #3 on: Jun 29th, 2009, 2:31am » |
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Hehe... I heard of that problem before, but it was a bum who can make one cigarette with four cigarette butts.
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chronodekar
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Re: milk bottles
« Reply #4 on: Jun 29th, 2009, 3:27am » |
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MathsForFun, Thats a really good way of putting things. Initially, I came to towr's answer. Of just 7 bottles. Considering at the end of your transaction, the original lender ends up with the 2 bottles that were borrowed, I think it's a good method. (Now, if they want to charge interest, ... its another matter entirely. -chronodekar
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