text: # maths
  
  i have two piece of ribbon one is 17.5cm longer than the other and 1/3 of one ribbon is the same as 3/4 of the other what is the size of the smaller ribbon
  
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  1. s = smaller , r = longer
  
  s + 17.5 = r
  
  r / 3 = 3 s / 4 ... 4 r = 9 s
  
  solve the system
  
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  2. that doesn't answer the question though does it ?
  
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  3. X=x
  Y=(x+17.5)
  1/3Y=3/4x
  1/3(x+17.5)=3/4x
  x+17.5=3/4x*3
  x+17.5=9x/4
  17.5=(9x/4)-x
  17.5=(9x-4x)/4
  17.5*4=5x
  70=5x
  14=x
  So, shortest piece of ribbon is 14cm
  
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