Problema Solution

The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was

6

to

5

. If there were

10,868

total votes, how many no votes were there?

Answer provided by our tutors

let


x = the number of yes votes


y = the number of no votes


The ratio of yes votes to no votes was 6 to 5:


x : y = 6 : 5 cross-multiply


5x = 6y


there were 10,868 total votes:


x + y = 10868


by solving the system of equations:


5x = 6y


x + y = 10868


we find:


x = 5,928 "yes" votes


y = 4,940 "no" votes


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