The owner of a bicycle store had a sale on bicycles (two-wheelers) and tricycles (three-wheelers). Each cycle had two pedals. When he counted the total number of pedals of the cycles, he got 50. When he counted the total number of wheels of the cycles, he got 64. How many tricycles were offered in the sale?

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2014-12-06T10:56:10+08:00

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2x+2y=50
2x+3y=64

2x+2y-50=0
2x+3y-64=0

       2x+3y-64=0
-     2x+2y-50=0

      y-14=0
      y=14
14 tricycles were offered in the sale. (11 bicycles were offered in the sale)
Check: 14 x 2 pedals + 11 x 2 pedals= 50 pedals
               28 pedals   +    22 pedals     = 50 pedals
                             50 pedals = 50 pedals, True
Check:     14 x 3 wheels + 11 x 2 wheels = 64 wheels
                     42 wheels +  22 wheels   = 64 wheels
                                 64 wheels    = 64 wheels, True
Therefore 14 tricycles were offered in the sale.
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