In the class elections, Connie received 53 more votes than Carl. In all, 221 votes were cast for the two candidates. How many votes did each receive. One point for the equation, one point for the solution.
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Let x = Connie's votes
Let y = Carl's votes
We know that y + 53 = x
We also know y + x = 221
We can substitute x into the bottom equation:
y + (y + 53) = 221
2y + 53 = 221
2y = 168
y = 84
Therefore, Carl has 84 votes. Connie has 53 more than that, so 84 + 53 = 137. Connie has 137 votes and Carl has 84 votes.
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