Question

Roger has to place cookies in plastic bags for a bake sale. He has 84 sugar cookies and 66 chocolate chip cookies. He wants to place the same number of cookies in each bag, wants to make sure that only one type of cookie goes into each bag, and wants to put the most cookies he can in each bag. How many cookies should be in each bag

Answer 1

Answer:

6 cookies

Step-by-step explanation:

Roger wants to place 84 sugar cookies and 66 chocolate chip cookies into plastic bags. Each bag must have the same number of cookies and only one type of cookie must be in each bag.

For the 84 sugar cookies:

number of cookies : 1    2     3      4      6     7      12      14      21     28    42    84

number of bags    : 84   42   28    21    14    12     7        6       4       3      2        1

For the 66 chocolate cookies:

number of cookies : 1       2      3       6      11       22     33      66

number of bags      : 66   33    22     11       6       3        2       1

The maximum common factor between 84 and 66 is 6.

Therefore 6 cookies should be placed in each bag. For sugar cookies, 6 cookies would be placed in each of the 14 bags while for the chocolate cookies, 6 cookies would be placed in each of the 11 bags.