SOLUTION: Town A and Town B were located close to each other, and recently merged into one city. Town A had a population with 6% Hispanics. Town B had a population with 12% Hispanics. Afte

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Town A and Town B were located close to each other, and recently merged into one city. Town A had a population with 6% Hispanics. Town B had a population with 12% Hispanics. Afte      Log On

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Question 977491: Town A and Town B were located close to each other, and recently merged into one city. Town A had a population with 6% Hispanics. Town B had a population with 12% Hispanics. After the merge, the new city has a total of 5000 residents, with 10.56% Hispanics. How many residents did Town A and Town B used to have?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = the number of residents
that town A used to have
+5000+-+a+ = the number of residents
that town B used to have
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+.06a+ = number of hispanics that
town A used to have
+.12%2A%28+5000+-+a+%29+ = number of hispanics
that town B used to have
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After merging, the town has:
+.1056%2A5000+=+528+ hispanics
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Now I can say:
+.06a+%2B+.12%2A%28+5000+-+a+%29+=+528+
+.06a+%2B+600+-+.12a+=+528+
+.06a+=+600+-+528+
+.06a+=+72+
+a+=+1200+
and
+5000+-+a+=+5000+-+1200+
+5000+-+a+=+3800+
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Town A used to have 1200 residents
Town B used to have 3800 residents