SOLUTION: Hi I wasn't sure how to set it up correctly. I've been trying but I'm not getting the correct answer. In a two-candidate election 1401 votes were cast. If 30 voters had switched th

Question 779006: Hi I wasn't sure how to set it up correctly. I've been trying but I'm not getting the correct answer. In a two-candidate election 1401 votes were cast. If 30 voters had switched their votes from the winner to the loser, the loser would have won by 5 votes. How many votes did each candidate actually receive?
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
Let be votes for the winner
Then is votes for the loser
So, we have
....... simplify
.... add and also to both sides
...... collect like terms
...... divide each side by
.....=> votes for the
........=> votes for the
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