SOLUTION: I am trying to figure out how to solve this word problem for my math homework: The Johnson family spent the afternoon at the baseball game. Mr. Johnson purchased three hot dogs

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Question 666729: I am trying to figure out how to solve this word problem for my math homework:
The Johnson family spent the afternoon at the baseball game. Mr. Johnson purchased three hot dogs and three sodas on his first trip to the concession stand and spent $22.50. On his second trip to the concession stand, he spent $24.00 on five sodas and two hot dogs. How much does a hot dog cost? How much does a soda cost?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

How muchhighlight%28x%29 does a hot dog cost? How muchhighlight%28y%29 does a soda cost?

Question states*** 

  3x + 3y = 22.50   x+=+7.50-y

  2x + 5y = 24.00  |||2 times 1stEQ and subtracting 3times 2ndEQ to eliminate x

        -9y = -27

          y =  $3.00, cost of soda.  hot dog costs $4.50