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1. At d end of d year, Town X had 12741 people and Town Y had 24366 people. Since then, 1024 people have moved from Town X to Town Y and 2136 people have moved from Town Y to Town X. What is d population of each Town?

1 answer

Let’s calculate the populations of Town X and Town Y after the movements of people.

Initially:

  • Population of Town X = 12741
  • Population of Town Y = 24366

After the moves:

  • 1024 people moved from Town X to Town Y.
  • 2136 people moved from Town Y to Town X.

We can update the populations as follows:

  1. Calculate the new population of Town X:

    • New population of Town X = Initial population of Town X - People moved to Town Y + People moved from Town Y
    • New population of Town X = 12741 - 1024 + 2136
    • New population of Town X = 12741 - 1024 + 2136 = 12741 - 1024 = 11717 + 2136 = 13853

  2. Calculate the new population of Town Y:

    • New population of Town Y = Initial population of Town Y + People moved from Town X - People moved to Town X
    • New population of Town Y = 24366 + 1024 - 2136
    • New population of Town Y = 24366 + 1024 = 25390 - 2136 = 23254

Thus, after the movements:

  • New population of Town X = 13853
  • New population of Town Y = 23254

So, the final populations are:

  • Town X: 13853 people
  • Town Y: 23254 people