Cookie Jar Problem

There was a jar 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 in the jar. 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 into the cookie jar, she saw that there were two cookies left. "How many cookies were there in the jar to begin with?" she asked.

Homework

Write down at least two different solutions to the above problem.

Tile Problem

An artist is planning to construct a rectangular wall design from square tiles. The wall is 72 inches long and 42 inches wide. All the square tiles must be the same size, and the length of the sides must be a whole number of tiles.

• Find three different sizes of square tiles that could be used to completely fill the rectangular space, with no tiles overlapping and no tiles overhanging the border.
• Determine the smallest number of square tiles that could be used to fill the rectangular space.

Homework

Attempt to solve the above problem. Even if you cannot solve it completely, record your ideas. Be prepared to discuss this problem with the class.