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Question 4839: Let's assume that the combined population of Anchorage and Tampa was 25,000 in 1995. By 1960 the population of Anchorage had increased by 10% while Tampa had increased by 9%. If the total population increased by 2380 people, then what was the population of each city in 1955.
Answer by Abbey(339)   (Show Source):
You can put this solution on YOUR website! I am assuming you mean 25,000 in 1955 rather than 1995...
Let T = number of people in Tampa in 1955
Let A = number of people in Anchorage in 1955
Let .10A = The number of people Anchorage increased by
Let .09T = The number of people Tampa increased by
We know that the 1955 population from Tampa and Anchorage = 25000 people, so:
T+A=25000, or by subtracting A from both sides we can get:
T=25000-A
And because the population increase was 2380 people, we can say:
.10A+.09T=2380
Us substitution:
.10A+.09T=2380
.10A+.09(25000-A)=2380
Clear parentheses, and combine like terms:
.10A+2250-.09A=2380
.01A+2250=2380
.01A=130
A=13000
Use one of your equations to get the T result:
T+A=25000
T+13000=25000
T=12000
Check your results with the other formula:
.10(13000)+.09(12000)=2380
1300+1080=2380
This is a true statement, so the solution is:
Anchorage 1955 population = 13000
Tampa 1955 population = 12000
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