An algebra problem by shweta dalal
Two candidates Alice and Bob are up for election. Alice is so popular that the number of votes for Bob is expected to be less than or equal to 25% of Alice's votes. If the total number of votes for both candidates is 500 , what is the minimum number of votes we could expect Alice to receive?
Details and assumptions
The number of votes for each candidate is a positive integer.
The answer is 400.
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1 solution
The correct answer should be 400.Here total votes for Alice and Bob are 500.If we minimize Alice's vote gain,we should maximize Bob's votes.Therefore Bob will get 25% of Alice's votes. Let Alice gets x votes,so Bob will get 25% of Alice's vote. I.e x+x/4=500. Hence x=400.