SOLUTION: hi,i need help with this problem at an election 4% of the votes casts are invalid.a candidate gets 55% of the valid votes and wins the election by 240 votes.find the total number

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Question 872710: hi,i need help with this problem
at an election 4% of the votes casts are invalid.a candidate gets 55% of the valid votes and wins the election by 240 votes.find the total number of votes cast

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
let x be the total votes, we then know
.14x + .55x + .31x is the total number of votes, we also know
.55x = .31x + 240
.24x = 240
x = 240 / .24 = 1000
total number of votes is 1000