Question

There was a plate of cookies on the table. Amanda was hungry because she hadn't had breakfast, so she
ate half the cookies. Then Beth came along and noticed the cookies. She thought they looked good, so she
ate a third of what was left on the
plate. Christine came by and decided to take a fourth of the remaining cookies with
her to her next class. Then Daniel came dashing up and took a cookie to munch on.
When Eva looked at the plate, she saw that there were two cookies left. She wondered how many cookies
were on the plate to begin with?

Answer 1

Answer:

10 2/3

Step-by-step explanation:

So in order to figure this out you have to work backwards. First, Daniel came and took a cookie. So when he took 1 there were 3 cookies available. Next Christine took one fourth of the cookies, meaning that the 3 available cookies are the remaining 3/4's. When she got there she took 1. Then Beth came and took 1/3. For it to be 3/3 there has to be 1 and 1/3 more cookies. Now there are 5 and 1/3 cookies. Amanda came and ate half of the cookies meaning that the amount of cookies we have now is the other half that she didnt eat. 5 and 1/3 plus 5 and 1/3 is 10 and 2/3. I hope this is correct.