Question 115164
Let S represent the number of votes that Max Sandlin got.
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And let B represent the number of votes that Dennis Boerner got.
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The combined number of votes is 135,821. So the sum of the Sandlin votes and the Boerner votes
is 135821. In equation form this is:
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S + B = 135821
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The problem further states that the difference between the Sandlin votes and the Boerner votes
was 25557 with Sandlin getting more votes. In equation form this is:
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S - B = 25557
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You can solve this equation for S by adding B to both sides of the equation to get:
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S = 25557 + B
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Substitute this value (the right side) for S in the equation for the total votes  to change
the total vote equation to:
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(25557 + B) + B = 135821
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Add the two B terms on the left side to get:
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25557 + 2B = 135821
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Get rid of the 25557 on the left side by subtracting 25557 from both sides to reduce the
equation to:
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2B = 110264
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Solve for B by dividing both sides of this equation by 2 to get:
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B = 110264/2 = 55132
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So Dennis Boerner got 55132 of the total 135821 votes. This means that Max Sandlin got
the remainder. So Max Sandlin got 135821 - 55132 votes. This means that Sandlin got 
80689 votes.
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Hope this is what you were looking for in the way of equations that enable you to solve the
problem.
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