SOLUTION: A local Movie theater charges $6 for each adult & $3.50 for each child ticket. if the theater sold a total of 65 adult and child tickets for a total of $340, How many adult tickets

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Question 702769: A local Movie theater charges $6 for each adult & $3.50 for each child ticket. if the theater sold a total of 65 adult and child tickets for a total of $340, How many adult tickets were sold?
Answer by ReadingBoosters(3246)   (Show Source): You can put this solution on YOUR website!
6x + 3.5y = 340
x + y = 65; therefore, y = 65 - x
...
Substitute
6x + 3.5(65-x) = 340
6x + 227.5 - 3.5x = 340
2.5x + 227.5 = 340
2.5x = 340 - 227.5
2.5x = 112.5
adult tickets sold
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