Anonymous
Anonymous asked in Science & MathematicsMathematics · 3 weeks ago

Town A and Town B were located close to each other, and recently merged into one city. Town A had a population with 8% whites.?

Town A and Town B were located close to each other, and recently merged into one city. Town A had a population with 8% whites. Town B had a population with 12% whites. After the merge, the new city has a total of 5000 residents, with 10.88% whites. How many residents did Town A and Town B used to have?

Write and solve a system equation to answer the following questions:

Town A used to have _____ residents, and Town B used to have _____ residents.

1 Answer

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  • Ash
    Lv 7
    3 weeks ago

    Let x = number of residents of Town A

    and y = number of residents of Town B

    x+y = 5000 ...(1)

    8%x + 12%y = 10.88% *5000

    0.08x + 0.12y = 0.1088*5000

    0.08x + 0.12y = 544

    Multiplying by 100 gives

    8x + 12y = 54400

    2x + 3y = 13600 ...(2)

    Multiply (1) by 2 and subtract (1) from (2)

    (2x+3y) - (2x + 2y) = 13600 - 10000

    y = 3600

    x = 5000 - 3600 = 1400

    Town A used to have 1400 residents, and Town B used to have 3600 residents.

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