SOLUTION: John paid $11.75 for 1 large box of popcorn and 2 large soda; Peter paid $13.00 for 2 large boxes of popcorn and 1 large soda. How much does 1 large box of popcorn cost?

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Question 412277: John paid $11.75 for 1 large box of popcorn and 2 large soda; Peter paid $13.00 for 2 large boxes of popcorn and 1 large soda. How much does 1 large box of popcorn cost?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Let x and y represent the cost of popcorn and soda respectively

Question states***

 x + 2y = $11.75

 2x + y = $13.00



 -2x -4y = -23.50

  2x + y = 13.00

     -3y = -10.50

       y = $3.50, cost of a soda

 x = 11.75-2y = $4.75, the cost of popcorn



CHECKING our Answer***

  2*$3.75 + $3.50 = $9.50 + $3.50 = $13.00