Question

Kelly and her brother won the lottery: Kelly took one half of the earnings, and her brother, Toey, took the other half. Kelly spent her entire half of the money. Joey spent & of his share.

What fraction of the total lottery winnings did Joey spend?

Answer 1

Let's call the total amount of the lottery winnings x.

If Kelly took one half of the earnings, then she took 1/2x and Toey took 1/2x as well.

Toey spent 1/4 of his earnings, so he spent 1/4*(1/2x) = 1/8x

So Joey spent 1/8 of the total lottery winnings.