Go to navigation
It is currently Fri Dec 09, 2016 7:29 pm

All times are UTC




Post new topic Reply to topic  [ 4 posts ] 
Author Message
PostPosted: Sun Jan 23, 2011 9:54 am 
Offline

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?


Top
 Profile  
 
 Post subject: Re: Problem solving
PostPosted: Sun Jan 23, 2011 10:03 am 
Offline

Joined: Fri Sep 15, 2006 8:51 am
Posts: 8116
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


Top
 Profile  
 
PostPosted: Sun Jan 23, 2011 11:02 pm 
Offline

Joined: Fri Oct 12, 2007 12:42 pm
Posts: 3817
Location: Chelmsford and pleased
Favourite problem :lol: I am sad!


Top
 Profile  
 
PostPosted: Mon Jan 24, 2011 11:16 am 
Offline

Joined: Thu Jan 03, 2008 8:26 am
Posts: 1326
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.


Top
 Profile  
 
Display posts from previous:  Sort by  
Post new topic Reply to topic  [ 4 posts ] 

All times are UTC


Who is online

Users browsing this forum: No registered users and 3 guests


You cannot post new topics in this forum
You cannot reply to topics in this forum
You cannot edit your posts in this forum
You cannot delete your posts in this forum
You cannot post attachments in this forum

Search for:
Jump to:  
CALL 020 8204 5060
   
Privacy Policy | Refund Policy | Disclaimer | Copyright © 2004 – 2016