SOLUTION: in a recent election, the winning candidate had 2,700 more votes than the loser. if the total number of votes was 13,300, how many votes did the winner receive ?

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Question 1171363: in a recent election, the winning candidate had 2,700 more votes than the loser. if the total number of votes was 13,300, how many votes did the winner receive ?
Answer by ikleyn(52775)   (Show Source): You can put this solution on YOUR website!
.

One way to solve 

    winning candidate + other candidate = 13300

        x             +   (x - 2700)    = 13300

       2x                               = 13300 + 2700 = 16000

        x                                              = 16000/2 = 8000


    ANSWER.  Winners received 8000 votes.


ANOTHER way to solve 

You write the system of two equations


    X + Y = 13300

    X - Y =  2700


and add equations.


You will get the same answer for the winner.

Solved, explained and completed.


--------------

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    - Word problems that lead to a simple system of two equations in two unknowns
in this site.


Also,  you have this free of charge online textbook in ALGEBRA-I in this site
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The referred lesson is the part of this online textbook under the topic "Systems of two linear equations in two unknowns".

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Free of charge online textbook in ALGEBRA-I
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