Question

Karen collects local and foreign coins. of the coins in her collection, 1/4 are foreign coins. Of the foreign coins,2/5 are from mexico What fraction of the collections are foreign coins that are not from mexico?

Answer 1

total coins ---- x
foreign coins --- x/4
mexican coins -- (2/5)(x/4) = x/10
non-mexican foreign coins = (3/5)(x/4) = 3x/20

so 3/20 of the collection is non-Mexican foreign coins

check:
assume there are 60 coins
so 1/4 are foreign or 15 of them
2/5 of those are Mexican or 6 are Mexian
then 9 are non-Mexican foreign
that fraction is 9/60 = 3/20

Answer 2

Karen collects local and foreign coins. Of the coins in her collection,
1
4 are foreign coins. Of the foreign coins, 2
5 are from Mexico.
What fraction of the collection are foreign coins that are not from Mexico?