SOLUTION: divide 182 meters into two parts such that the smaller is 1/13 of the larger

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Question 1096199: divide 182 meters into two parts such that the smaller is 1/13 of the larger
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39621) About Me  (Show Source):
Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!

If the smaller piece is 1/13 of the larger, then the larger is 13 times as long as the smaller. So
let x = shorter piece length
then 13x = longer piece length
x%2B13x+=+182
14x+=+182
x+=+13


The lengths of the two pieces are x=13 and 13x = 169.

I didn't see the other tutor's solution before I posted mine....
But note that working the problem with fractions is a bit more difficult (a LOT more difficult for some people!); so I avoid using fractions if it is easy to do so.