David and Jake are making cookies. They each get 2 rolls of cookie dough and they are cutting up their rolls with cookie cutters before David's mother places the cookies in the oven. David's cookie cutter cuts 1 roll into

1
8
segments and Jake's cookie cutter cuts 1 roll of dough into
1
7
segments.

Who will have the most cookies, and how many more cookies will that person have?

Choose...
will have the most cookies, and he will have
Choose...
more cookies

1 answer

To compare the number of cookies each person will have, we need to find a common denominator for the segments. The least common multiple of 8 and 7 is 56.

David's 2 rolls of cookie dough will be cut into 2 x 8 x 56 = 896 segments.

Jake's 2 rolls of cookie dough will be cut into 2 x 7 x 56 = 784 segments.

Therefore, David will have the most cookies, and he will have 896 - 784 = 112 more cookies than Jake.