SOLUTION: Could someone show me how to do this problem? The ratio of yes votes to no votes in an election was 7 to 4. How many no votes were cast if there were a total of 8272 votes cast?

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Question 387389: Could someone show me how to do this problem?
The ratio of yes votes to no votes in an election was 7 to 4. How many no votes were cast if there were a total of 8272 votes cast?
Thank you
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,         

Let x and (8272 -x) represent the yes votes and no votes respectively

Question Sets Up the Proportion***

 +7%2F4+=+x%2F%288272-x%29

Cross multiplying to solve for x

   4x = 7(8272-x)

  4x = 7*8272 - 7x

  11x = 7*8272

    x = 7*8272/11

    x =5264, the number of yes votes.  No votes = 3008    (8272 - 5264)



CHECKING our Answer***

 7/4 = 1.75 =  5264/3008 = 1.75