# Problem of the Week Problem A Cookies!

Benoit, Jin, Manuel, and Sarah shared a package of $$30$$ cookies. After several days, all the cookies in the package were eaten by these four people and each person only ate whole cookies. Benoit recorded the following observations:

• Sarah ate twice as many cookies as Jin.

• Manuel ate two-thirds as many cookies as Sarah.

• Benoit ate half as many cookies as Manuel.

4. Someone ate $$6$$ cookies. This was not the person who ate the most or fewest cookies. How many cookies did each person eat? Justify your answer.