Answer:
The answer is below
Explanation:
a) Lily has 24 chocolate chip cookies and 32 vanilla wafers, since she has to put the chocolate and vanilla in the same bag, the number of bags must be a factor of 24 and 32. Below the bags are listed:
Number of bags: Â Â Â Â Â Â Â Â Â Â Â 1 Â Â Â Â Â Â Â 2 Â Â Â Â Â Â Â 4 Â Â Â Â Â Â Â Â Â 8
Number of cookies: Â Â Â Â Â Â Â Â Â 24 Â Â Â Â Â 12 Â Â Â Â Â Â Â 6 Â Â Â Â Â Â Â Â 3
Number of wafers            32      16        8         4
This means that the largest number of bag is 8 which would contain 3 cookies and 4 wafers
b) For the chocolate chip to be placed, the number of bags must be a factor of 24. It is given below:
Number of bags: Â Â Â Â Â Â Â Â Â Â 1 Â Â Â Â Â 2 Â Â Â Â Â 3 Â Â Â Â Â 4 Â Â Â Â Â 6 Â Â Â Â 8 Â Â Â Â Â 24
Number of cookies: Â Â Â Â Â Â Â 24 Â Â Â Â 12 Â Â Â Â 8 Â Â Â Â Â 6 Â Â Â Â Â 4 Â Â Â Â Â 3 Â Â Â Â Â 1
c) For the vanilla wafers to be placed, the number of bags must be a factor of 32. It is given below:
Number of bags: Â Â Â Â Â Â Â Â Â Â 1 Â Â Â Â Â 2 Â Â Â Â Â Â 4 Â Â Â Â Â 8 Â Â Â Â 16 Â Â Â Â Â 32
Number of wafers: Â Â Â Â Â Â Â Â 32 Â Â Â Â 16 Â Â Â Â Â Â 6 Â Â Â Â Â 4 Â Â Â Â Â 2 Â Â Â Â Â 1
