SOLUTION: When a fraction of 12 is taken away from 17, what remains exceeds one-third of seventeen by six.

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Question 813703: When a fraction of 12 is taken away from 17, what remains exceeds one-third of seventeen by six.
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
When a fraction of 12
f×12

is taken away from 17,
17 - f×12

what remains exceeds
[To find how much something exceeds you subtract]
17 - f×12 -  

one-third of seventeen
17 - f×12 - 1%2F3×17

by six.
17 - f×12 - 1%2F3×17 = 6

17 - 12f - 17%2F3 = 6

Multiply through by 3 to avoid fractions:

51 - 36f - 17 = 18

     34 - 36f = 18

         -36f = -16

            f = %28-16%29%2F%28-36%29

            f = 4%2F9

Edwin