SOLUTION: In an election one candidate got 40 percent votes and defeated by 1500 votes then votes of
winner are?
(A)3000 (B) 5000 (C) 4500 (D)6000 �
Algebra.Com
Question 1119524: In an election one candidate got 40 percent votes and defeated by 1500 votes then votes of
winner are?
(A)3000 (B) 5000 (C) 4500 (D)6000 �
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
one candidate got 40% of the votes and was defeated by 1500 votes.
if the total number of votes is equal to x, then the candidate got .40 * x of the votes and his opponent got .60 * x of the votes.
he got 1500 less votes than his opponent, therefore .40 * x = .60 * x - 1500.
subtract .60 * x from both sides of this equation and combine like terms to get:
-.20 * x = -1500.
divide both sides of this equation by -.20 and you get:
x = -1500 / -.20.
solve for x to get:
x = 7500.
the total number of votes = 7500.
the candidate got 40% of 7500 = 3000.
his opponent got 60% of 7500 = 4500.
he got 4500 - 3000 = 1500 less votes than his opponent.
numbers check out, so the solution is:
his opponent got 4500 votes.
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