# math

posted by .

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 3 cookies on the plate. How many did each child eat?

• math -

Let x = # of cookies originally on the plate.

x - 1/4x - 1/3(1/4x) - 1/2(1/3)(1/4x) = 3

Solve for x, then solve for each one of the three subtracted terms.

## Similar Questions

1. ### Math

Yuki made cookies on Monday. Some friends came over and ate half the cookies on Tuesday. on Wednesday, Yuki ate three cookies, and on Thursday, she took two cookies to school. By Friday, Yuki had seven cookies left. How many did she …
2. ### Math7

Yuki made cookies on Monday. Some friends came over and ate half the cookies on Tuesday. On wednesday,Yuki ate three cookies, and on Thursday, she took two cookies to school. By Friday, Yuki had seven cookies left. How many did she …
3. ### arithmetic

Kate ate 1/3 of the cookies she made for the bake sale. IF she ate 12 cookies, how much will she make if she sells wach remaining cookie for \$0.15 each?
4. ### math

When 6-year old Melanie arrived home from school, she was the first to eat cookies from a freshly baked batch. When 8-year old Felipe arrived home, he ate twice as many cookies as Melanie had eaten. When 9-year old Hillary arrived …
5. ### math

kyle gave 1/4 cookies to her brother, gave 23 cookies to her friend. He gave 2/10 of remaining cookies to his mother. Then took 5/8 to school to share. how many cookies did Kyle have left
6. ### math

Ms.Montoya class baked cookies for school festival.They sold three fifths of the cookies on Thursday and one fourth of the cookies on Friday.If there were 24 cookies left after Friday,how many cookies did Ms.Montoya baked?