Question 1114421
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<U>1.  &nbsp;&nbsp;Two equations setup and solution</U>


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    S + D = 175      (1)
    S - D =  51      (2)
   ---------------------------  Add the equations to eliminate D:


   2S     = 175 + 51 = 226  ====>  S = {{{226/2}}} = 113  (the number of sodas)


   Then the number of dogs, from eq(1),  D = 175 - S = 175 - 113 = 62.


<U>Answer</U>.  113 sodas and 62 dogs.
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<U>2.  &nbsp;&nbsp;One equation setup and solution</U>


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sodas + dogs   = 175


S     + (S-51) = 175


2S - 51 = 175  ====>  2S = 175 + 51 = 226  ====>  S = {{{226/2}}} = 113,


And you get the same answer.
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