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26 January, 21:38

If the population of Town B is 50% greater than the population of Town A and the populations of Town C is 20% greater than the population of Town A, then what percent greater is the population of Town B tan the population of Town C

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  1. 26 January, 23:56
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    Let

    A = population of town A,

    B = population of town B,

    C = population of town C.

    Because the population of town B is 50% greater than that of town A,

    B = 1.5A (1)

    Because the population of town C is 20% greater than that of town A,

    C = 1.2A (2)

    From (1), obtain

    A = B/1.5 = (2/3) B (3)

    Substitute (3) into (2).

    C = 1.2 * (2/3) * B = 0.8B

    Divide each side by 0.8.

    1.25C = B

    This result means that B is 25% greater than C.

    Answer: 25%
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