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19 August, 10:17

Mary has twice as many dogs as David has cats and josh has enough animal collars to give a collar to one third of the dogs or to give a collar to all the cats except one. How many collars does josh have?

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  1. 19 August, 12:43
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    D = 2C

    J = 1/3D

    J = C - 1

    J = 1/3D

    J = 1/3 (2C)

    J = 2/3C

    2/3C = C - 1

    2/3C - 3/3C = - 1

    -1/3C = - 1

    C = - 1 * - 3

    C = 3 ... there are 3 cats

    J = C - 1

    J = 3 - 1

    J = 2 ... there are 2 collars
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