Problema Solution

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 Connie receive?

Answer provided by our tutors

let


x = the number of votes that Connie received


y = the number of votes that Carl received


Connie received 53 more votes than Carl:


x = 53 + y


in all, 221 votes were cast for the two candidates:


x + y = 221


by solving the system of equations:


x = 53 + y


x + y = 221


we find:


x = 137 votes


y = 84 votes


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Connie received 137 votes.