SOLUTION: Divide $128 into two parts such that one-third of the first part is less than 1 5 of the second part by $8.

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Question 392188: Divide $128 into two parts such that one-third of the first part is less than
1
5
of the second part by
$8.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

$128 into two parts

Let x and ($128-x) represent the first part and second part respectively

If I am understanding Your question properly****

(1/3)x = (1/5)(128 -x) -$8   |multiplying each side by 15 so as all denominators= 1

   5x = 3($128-x) - $8*15

   5x = 3*128 - 3x - $8*15

   8x = $264

    x = $33, the first part.  The second part = $95    ($128-$33)



CHECKING our Answer

 (1/3)$33 = (1/5)$95 -$8

      $11 = $19 - $8