SOLUTION: Last month, 38,860 residents of Lakewood County and 46,204 residents of Rockland County voted on Referendum A. From the two counties, a total of 63,798 residents voted yes. If t

Algebra ->  Expressions -> SOLUTION: Last month, 38,860 residents of Lakewood County and 46,204 residents of Rockland County voted on Referendum A. From the two counties, a total of 63,798 residents voted yes. If t      Log On


   

Question 1043044: Last month, 38,860 residents of Lakewood County and 46,204 residents of Rockland County voted on Referendum A. From the two counties, a total of 63,798 residents voted yes. If the same percentage of voters in each county voted yes, how many of the residents of Lakewood County voted yes?
A) 17594 B) 24,938 C) 29,145 D) 34,653
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x%2F100+ = the fraction of voters in both
counties who voted yes
+%28+x%2F100+%29%2A38860+%2B+%28+x%2F100+%29%2A46204+=+63798+
+%28+x%2F100+%29%2A%28+38860+%2B+46204+%29+=+63798+
+x%2A85064+=+63798+
+x%2F100+=+63798%2F85064+
+x%2F100+=+.75+
+x+=+75+
75% of both counties votes yes
--------------
++.75%2A38860+=+29145+
The answer is (C)