Question

2/3 of a pizza are left over. a group of friends divided the leftover pizza into pieces each equal to 1/18 of the original pizza. After each friend took one piece 1/6 of the leftover pizza remained. How many friends were in the group?

Answer 1

I got `9` but check my reasoning anyway:

Explanation:

Let us say that tere are `x` friends.
Each one gets `1/18` of the original pizza: but this in turn leaves `1/6` of the `2/3` leftover.
I write it as:

`1/18x=2/3-1/6`

rearranging:

`x=12-3=9`