SOLUTION: I don't Even know if this is the right section to ask this question but the question is, "divide 60 into two parts so that the quotient obtained by dividing one part by the other w

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Question 1108849: I don't Even know if this is the right section to ask this question but the question is, "divide 60 into two parts so that the quotient obtained by dividing one part by the other will be 9/11." If this is not the right section can someone please point me in the right direction?? Thanks!!

Found 2 solutions by math_helper, Jdog825:
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!

You are in the right section.
Let x be one of the parts, which leaves 60-x as the other part.

Set the ratio of the two parts to 9/11:
+x%2F%2860-x%29+=+9%2F11+
Multiply both sides by 11 and both sides by 60-x:
++11x+=+9%2860-x%29++
Can you work it out from here to get x ?
[ Once you have x, write x/(60-x) as your fraction, and reduce it ]

Answer by Jdog825(1) About Me  (Show Source):
You can put this solution on YOUR website!
11x9(60-x)
11x=540-9x
+9x. +9x
20x/20 = 540/20
X=27