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 Post subject: Problem solving: pennies in bagsPosted: Sun Jan 23, 2011 9:54 am

Joined: Thu Apr 08, 2010 10:28 pm
Posts: 95
Location: London
Please could anyone help me on this question.

Sam divided 15 pennies among 4 small bags

He could then pay any sum of money from 1p to 15p, without opening any
bag.

How many pennies did Sam put in each bag?

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 Post subject: Re: Problem solvingPosted: Sun Jan 23, 2011 10:03 am

Joined: Fri Sep 15, 2006 8:51 am
Posts: 8080
8,4,2, and 1

1=1
2=2
3=2+1
4=4
5=4+1
6=4+2
7=4+2+1
8=8
9=8+1
10=8+2
11=8+2+1
12=8+4
13=8+4+1
14=8+4+2
15=8+4+2+1

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 Post subject: Re: Problem solving: pennies in bagsPosted: Sun Jan 23, 2011 11:02 pm

Joined: Fri Oct 12, 2007 12:42 pm
Posts: 3802

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 Post subject: Re: Problem solving: pennies in bagsPosted: Mon Jan 24, 2011 11:16 am

Joined: Thu Jan 03, 2008 8:26 am
Posts: 1322
Location: Watford, Herts
Another way of looking at this is as expressing numbers in binary (i.e. base 2), where a 1 means include the bag with 2^n pennies, and 0 means don't. For example:

11 (decimal) = 1011 (binary) = 8 + 2 + 1

You can write all the numbers from 0 to 15 with 4 binary digits.

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