3 candidates A,B and C contest an election.A gets atleast 40% of all the votes,B gets 20% of the number of votes that A gets and cannot get more that 80% of the number of votes that C gets.What is the maximum percentage of votes that A can get?

Question

anonymous · Answer

new picture?

anonymous · Answer

hmm... should we be trying to minimize B and C's votes?

anonymous · Answer

was that directed at me? if so, yes :) if not.....still yes lol

anonymous · Answer

C can  get nothing.

anonymous · Answer

LIke, lets make B get only 20% of A, even though B could get more.

anonymous · Answer

If 20% of A min = 80% of C 
then C in terms of A min is 25% of A min [Can anyone explain this]

anonymous · Answer

But C has to get some votes right?  B cant have more than 80% of C.  If C is 0, and B isnt, this fails.

lalaly · Answer

A+B(min)+C(min)=100
A+0.2A+0.25A=100( B is 80% of C so .8C=.2A)
1.45A=100
hence A can get 68.9% of votes...

anonymous · Answer

Beautiful answer ...I am impressed...

anonymous · Answer

lol, im just seeing it right now, very very nice solution :)

anonymous · Answer

last time you gave me a medal you broke my page o.O lol

lalaly · Answer

haha its not my fault x( sorryyy:D