Question

Mike ate 1 3 of a bag of peanuts at the game, and on the way home he ate 1 3 of what was left. How much of the bag of peanuts did mike eat on the way home?

A) 1 3
B) 1 6
C) 1 9
D) 2 9

Answer 1

Mike ate 1 / 3 of a bag of peanuts at the game, then there left

`1-(1)/(3) =(3)/(3) -(1)/(3)=(2)/(3)`.

On the way home he ate 1 / 3 of what was left, that is he ate 1 / 3 from 2 / 3 and this is

`(1)/(3) \cdot (2)/(3) =(1\cdot 2)/(3\cdot 3) =(2)/(9)`.

On the way home Mike ate 2 / 9 of a bag of peanuts.

Answer: Correct choice is D.