Problema Solution

Two adults go to the movies and buy a large popcorn and two drinks, their total is $9.00. 5 teenagers go to the movies and buy 2 large popcorns and 5 drinks, their total is $20.50. How much does the popcorn and drinks cost individually?

Answer provided by our tutors

let


p = the cost of one large popcorn

d = the cost of one drink


a large popcorn and two drinks, their total is $9.00


p + 2d = 9


5 teenagers go to the movies and buy 2 large popcorns and 5 drinks, their total is $20.50.


2p + 5d = 20.50


by solving the system of equations


p + 2d = 9

2p + 5d = 20.50


we find


p = $5


d = $2.5


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one popcorn costs $5.

one drink costs $2.5.