SOLUTION: Town A and Town B were located close to each other, and recently merged into one city. Town A had a population with 10% Asians. Town B had a population with 12% Asians. After the m

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: Town A and Town B were located close to each other, and recently merged into one city. Town A had a population with 10% Asians. Town B had a population with 12% Asians. After the m      Log On

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Question 862856: Town A and Town B were located close to each other, and recently merged into one city. Town A had a population with 10% Asians. Town B had a population with 12% Asians. After the merge, the new city has a total of 5000 residents, with 11.52% Asians. How many residents did Town A and Town B used to have?
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Town A and Town B were located close to each other, and recently merged into one city. Town A had a population with 10% Asians. Town B had a population with 12% Asians. After the merge, the new city has a total of 5000 residents, with 11.52% Asians. How many residents did Town A and Town B used to have?***
let x=number of residents Town A used to have
5000-x=number of residents Town B used to have
...
10%x+12%(5000-x)=11.52%(5000)
.10x+600-.12x=576
.02x=24
x=1200
5000+x=3800
number of residents Town A used to have=1200
number of residents Town B used to have=3800