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?
(1 point)
_ will have the most cookies, and he will have _ more cookies.
Jake will have the most cookies, and he will have 3 more cookies.
To find the number of cookies each person will have, we can set up the following calculations:
David:
2 rolls of dough * 1/8 segments per roll = 2/8 = 1/4
1/4 * 2 = 1/2
Jake:
2 rolls of dough * 1/7 segments per roll = 2/7
2/7 * 2 = 4/7
Since 4/7 > 1/2, Jake will have the most cookies. To find how many more cookies Jake will have than David, we can subtract:
4/7 - 1/2 = (4*2 - 1*7) / 7 = 8 - 7 / 7 = 1/7
Therefore, Jake will have 1/7 more cookies than David.