SOLUTION: a concession stand sells soft drinks for $0.30 and cookies for $0.50 each. 175 items were sold during the game for a grand total of $65.70. How many of each was sold?

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Question 388509: a concession stand sells soft drinks for $0.30 and cookies for $0.50 each. 175 items were sold during the game for a grand total of $65.70. How many of each was sold?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,         

       

Let x and (175 - x)represent the number of cookies and soft drinks sold respectively

Question states***

  $0.50x + $0.30(175 - x) = $65.70

solving for x

      $0.20x = $65.70 - $0.30*175

      $0.20x = $65.70- $52.50

         x = 13.20/.20

         x = 66, number of cookies sold, soft drinks, 109 were sold   (175-66)



CHECKING our Answer

 .50*66 + .30*109 = $33 + $32.70 = 65.70