SOLUTION: Juan and movies and his friends went to the movies while they were there they decided to buy popcorn and drinks one friend bought a large popcorn and 2 drinks for $18.50 . Juan bou

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Juan and movies and his friends went to the movies while they were there they decided to buy popcorn and drinks one friend bought a large popcorn and 2 drinks for $18.50 . Juan bou      Log On


   

Question 1058534: Juan and movies and his friends went to the movies while they were there they decided to buy popcorn and drinks one friend bought a large popcorn and 2 drinks for $18.50 . Juan bought a large popcorn and a drink for $14 find the price for a large popcorn and the price of a drink
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +p+ = the price of a popcorn
Let +d+ = the price of a drink
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(1) +p+%2B+2d+=+18.5+
(2) +p+%2B+d+=+14+
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Subtract (2) from (1)
(1) +p+%2B+2d+=+18.5+
(2) +-p+-+d+=+-+14+
-----------------------
+d+=+4.5+
and
(2) +p+%2B+d+=+14+
(2) +p+%2B+4.5+=+14+
(2) +p+=+9.5+
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A large popcorn costs $9.50
A drink costs $4.50