SOLUTION: I really need help with this problem: Antonio loves to go to the movies. He goes both at night and during the day. The cost of a matinee is $6. Dollars the cost of an evening show

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: I really need help with this problem: Antonio loves to go to the movies. He goes both at night and during the day. The cost of a matinee is $6. Dollars the cost of an evening show       Log On


   

Question 1068473: I really need help with this problem: Antonio loves to go to the movies. He goes both at night and during the day. The cost of a matinee is $6. Dollars the cost of an evening show is $8 dollars. Antonio went to see a total of 5 movies and spent $36
A) solve by graphing
B) how many of each type of movie Didi he attend
C) why is the intersection of the graphs of the linear equations the solution?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the number of matinee movies, y the number of evening movies.
x%2By=5 Total number of movies
6x%2B8y=36 Total cost of movies
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x=2 and y=3 so Antonio saw 2 matinee movies and 3 evening movies.
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It is the one point that satisfies both equations so it is the solution.