Alex came home after school one day and found that his mother had left a plate of cookies. Alex ate 1/4 of the cookies. When his sister Bernice came home, she ate 1/3

of the remaining cookies, and when Carla came home, she ate 1/2
of the cookies on the plate. When their mother came home, there were 2 cookies on the plate. How many did each child eat?

1 answer

total cookies = X.
Alex ate: 1/4 * x = x/4 cookies. Bal. = 3x/4.

Bernice ate: 1/3 * 3x/4 = 3x/12 = x/4 cookies. Bal. = x/2.

Carla ate: 1/2 * x/2 = x/4 cookies. Bal. = x/4.

x/4 = 2, X = 8 Cookies.
So each child ate x/4 or 2 cookies.