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?
+237 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
