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?

Answer 1

`(2)/(9)`

Explanation:

Given that

Mike ate =
`(1)/(3)` of peanuts bag

And when he is on the way to home he ate the remaining of
`(1)/(3)` peanuts bag

So, the remaining peanuts is

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

=
`(2)/(3)`

So, the total number of peanuts he eat on the way to home is

=
`(1)/(3)*(2)/(3)`

=
`(2)/(9)`

We simply multiplied the remaining and available peanuts bag ratio so that the correct ratio could come