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2 January, 22:59

There are d black and brown horses in a field. There are 16 more black horses than brown horses. Of the horses in the field, only 25% of them are brown. How many are black?

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  1. 2 January, 23:07
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    Answer: 24 black horses

    Step-by-step explanation:

    Let the number of black horses = bl and

    The number of Brown horses = br

    Total number of horses = d

    Of the horses in the field, only 25% of them are brown. That is,

    25% of d = br

    0.25d = br ... (1)

    The remaining horses are black. Which will be 100% - 25% = 75%. That is,

    75% of d = bl

    0.75d = bl ... (2)

    But according to the question, there are 16 more black horses than brown horses. That is,

    bl = br + 16 ... (3)

    The total number of horses d will be

    d = br + bl ... (4)

    Substitute bl in equation 3 into equation 4

    d = br + br + 16

    d = 2br + 16 ... (5)

    Substitutes equation (1) into the equation (5)

    d = 2 (0.25d) + 16

    d = 0.5d + 16

    Collect the like terms

    d - 0.5d = 16

    0.5d = 16

    d = 16/0.5

    d = 32

    Substitute 32 for d in equation (2).

    bl = 0.75 * 32

    bl = 24 horses.

    Therefore, 24 horses are black.
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