SOLUTION: 1.Can you help me with this? ) Let’s assume that the combined population of Anchorage and Tampa was 25,000 in 1955. By 1960 the population of Anchorage had increased by 10% while

Algebra ->  Finance -> SOLUTION: 1.Can you help me with this? ) Let’s assume that the combined population of Anchorage and Tampa was 25,000 in 1955. By 1960 the population of Anchorage had increased by 10% while       Log On


   

Question 194213: 1.Can you help me with this? ) Let’s assume that the combined population of Anchorage and Tampa was 25,000 in 1955. 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.
Thank you all
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Let’s assume that the combined population of Anchorage and Tampa was 25,000
in 1955. 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.
:
Let x = population of Anchorage in 1955
then
(25000-x) = population of Tampa in 1955
:
Anchorage increase + Tampa increase = 2380 people
.10x + .09(25000-x) = 2380
.10x + 2250 - .09x = 2380
.10x - .09x = 2380 - 2250
.01x = 130
x = 130%2F.01
x = 13,000 is the pop of Anchorage
and
25000 - 13000 = 12,000 is pop of Tampa
;
;
Check solution:
.10(13000) + .09(12000) =
1300 + 1080 = 2380