A towns population is 43,425. About 125 people move out of the town each month. Each month, 200 people on average move into town. A nearby town has a population of 45,00. It has no one moving in and an average of 150 people moving away every month. DO BOTH OF THESE THINGS!!!1) In about how many months will the population of the towns be equal?2) WRITE an equation that represents this situation and solve!!!!!
Question
Answer:
Answer:1). After 7 months population will be same.2). (43425 + 75x) = (45000 - 150x)Step-by-step explanation:2). Population of a town = 43425.Number of people moving out of the town = 125 per monthNumber of people moving in = 200 per monthOn an average number of people increasing every month = 200 - 125 = 75 Population of the nearby town = 45000Number of people moving in = 0 per monthNumber of people moving out = 150 per monthLet after x months number of population will be same.So the equation will be (43425 + 75x) = (45000 - 150x)1). By solving this equation we can get the number months when the population of both the towns will be same.43425 + 75x = 45000 - 150x43425 + 75x + 150x = 4500075x + 150x = 45000 - 43425225x = 1575x = [tex]\frac{1575}{225}[/tex]x = 7 months
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general
10 months ago
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