



 
We have two responses for you Hi Paul, I can get you started on these problems. There must be a bag with 1 penny in it as you need to be able to pay 1p. To pay 2p you either need another bag with 1 penny in it or a bag with 2 pennies in it. An advantage of having the second bag with 2 pennies in it is that with these two bags you can pay three amounts, 1p, 2p and 3p using both bags. Can you continue?
Paul, This question, and the other one you sent in, are about counting in binary (base two). 000 = 0x2^2 + 0x2 + 0 = 0 So, for the pennies problem, if there are three bags that contain 1, 2, and 4 pennies, I hope this helps you solve both of your problems, and all others like them. Victoria  


Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences. 