Question 1108849

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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/(60-x) = 9/11 }}}
Multiply both sides by 11 and both sides by 60-x:
{{{  11x = 9(60-x)  }}}

Can you work it out from here to get  x ?

[ Once you have x,  write  x/(60-x)  as your fraction, and reduce it ]