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13 March, 21:35

Marlene is solving a number puzzle involving three rational numbers a, b, and c. Here are her clues:

The quotient of a and c is 8.

The product of a and c is 2.

The quotient of a and b is - 16.

The product of a and b is - 1.

The quotient of b and c is - 0.5.

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  1. 13 March, 22:01
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    A/c = 8 ... a = 8c

    a * c = 2 ... a = 2/c

    a/b = - 16 ... a = - 16b

    a * b = - 1 ...

    b/c = - 0.5

    2/c = 8c

    2 = 8c^2

    1/4 = c^2

    sqrt 1/4 = c

    0.5 (or 1/2) = c <===

    a * c = 2

    0.5a = 2

    a = 2/0.5

    a = 4 <===

    a = - 16b

    4 = - 16b

    4/-16 = b

    -1/4 (or - 0.25) = b <===
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