A group of friends were helping themselves to cookies from a plate. John took 1/3 of the cookies. Then Paul ate 3/4 of the remaining cookies. After that, Michael ate 2/3 of what was left. Finally, Betty took 1 cookie. They saw that there was only 1 cookie left. How many cookies did Michael take?

Guest Jan 9, 2022

#1**0 **

Let x-no. of cookies

John = 1/3x

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

Paul = 1/2x

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

Michael = 1/9x

Betty = 1

Left = x - 1/3x - 1/2x - 1/9x - 1

Left = 1/18x - 1

1/18x - 1 = 1

1/18x = 1 + 1

1/18x = 2

x = 2 (18)

x = 36 (Total cookies)

Michael = 1/9 (36)

Michael = 4 cookies

Slimesewer Jan 11, 2022