suppose she cut the cake in 2008 size pieces and six people ate all the pieces explain how they could have divided the pieces so that everyone ate the same amount of cake you may show your work in a drawing

What a cake! Over 2,000 pieces? Are you sure??

when u get this answer let me know! i am stuck on the same one!!! but i think that the question should read cut a cake into 8 pieces...

To divide the cake into equal pieces for six people, we need to find a number that can be evenly split among six without any remainders. We can start by dividing the total number of cake pieces (2008) by 6:

2008 รท 6 = 334 remainder 4

Since we have a remainder, we cannot divide the cake into exactly equal pieces. However, we can distribute the remainder pieces equally among the six people to minimize the difference in portion sizes.

Let's distribute the remainder pieces by giving one extra piece to each person until all the remainder pieces are gone:

Person 1: 334 pieces + 1 extra piece = 335 pieces
Person 2: 334 pieces + 1 extra piece = 335 pieces
Person 3: 334 pieces + 1 extra piece = 335 pieces
Person 4: 334 pieces + 1 extra piece = 335 pieces
Person 5: 334 pieces + 1 extra piece = 335 pieces
Person 6: 334 pieces + 1 extra piece = 335 pieces

In total, each person would have 335 pieces of cake. While the remainder cannot be divided equally, distributing the extra pieces as evenly as possible ensures everyone has nearly the same amount.

Here is a simple visual representation of how the pieces could be divided:
___ ___ ____
| | |
--------- ----------------
___ ___ ____
| | |
--------- ----------------

Continuing this pattern until you have 2008 pieces. However, this drawing is not to scale and merely represents how the 2008 pieces could be distributed among the six people.