500
Ziggy cuts the cake at his birthday party. He cuts it so that every guest can have 2 slices of cake each, just in case. It turns out that everyone has their first slice of cake, but only 1/3 of the guests have a second slice of cake. He has 12 slices left. How many guests does he have at his party?
(Hint: Set up a picture or diagram.)
18 guests...
because if only 1/3 of the guests had a second slice, that means 2/3 of the guests did not have a second slice. So 2/3 of the guests did not eat the 12 slices of cake. Ziggy made sure to cut the cake so that EVERY guest got a second slice. If 2/3 of guests equals 12, then what does 3/3 of guests equal? You can do simple arithmetic or algebra to get the answer. Setting up a picture or diagram will help.