SOLUTION: The combined population of Town 1 and Town 2 was 25,000 in 1990. By 1995 the population of Town 1 had increased by 10% while the population of Town 2 had grown by 9%. If the tota

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Question 283175: The combined population of Town 1 and Town 2 was 25,000 in 1990. By 1995 the population of Town 1 had increased by 10% while the population of Town 2 had grown by 9%. If the total population of both towns had increased by 2380 people, what was the population of each town in 1990.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
.10x+.09(25,000-x)=2,380
.10x+2,250-.09x=2,380
.01x=2,380-2,250
.01x=130
x=130/.01
x=13,000 was the population of Town #1.
25,000-13,000=12,000 was the population of Town #2.
Proof:
.10*13,000+.09*12,000=2,380
1,300+1,080=2,380
2,380=2,380