SOLUTION: How do I solve this problem? In an election between two candidates 510 votes were cast. If the winner received 350 more votes than the loser. How many votes did the winner receive

Question 703590: How do I solve this problem? In an election between two candidates 510 votes were cast. If the winner received 350 more votes than the loser. How many votes did the winner receive?
Answer by The_Teacher(5) (Show Source): You can put this solution on YOUR website!
Let's say the loser received x amount of votes. Since the winner received 350 more votes than the loser, we can say he received x + 350 votes. We also know that in total, 510 votes were cast. We can use this information to form the equation
x + x + 350 = 510, where x is the amount of votes the loser got and x + 350 is the amount of votes the winner got. Simplifying the equation goes like this:
x + x + 350 = 510,
2x + 350 = 510,
2x = 160
x = 80.
So, we know that the loser received 80 votes. However, this problem is looking for how many votes the winner received. So, we can plug in the value 80 into our expression x + 350 to get 80 + 350 resulting in 430. So, the winner got 430 votes.
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