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
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.