SOLUTION: Theater tickets are $8 for general admission and $5 for students. During one evening 240 tickets were sold, and the receipts were $1680. How many of each type of ticket was sold?

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Question 102216: Theater tickets are $8 for general admission and $5 for students.
During one evening 240 tickets were sold, and the receipts were $1680.
How many of each type of ticket was sold?
HELP I am also so stupid with word problems. Help please.
Answer by mathemanic(13) About Me  (Show Source):
You can put this solution on YOUR website!
Suppose that the number of tickets sold for general admission is x and the numbers of tickets sold for students is y. If we try to put the problems into equations,
+x+%2B+y+=+240+ ... (1)
+8x+%2B+5y+=+1680+ ... (2)
Therefore you can work out the solution algebraically, such as by substitution:
x = 240 - y from equation (1), and submitting this value of x into (2) makes:
+8%2A%28240+-+y%29+%2B+5y+=+1680+
+1920+-+8y+%2B+5y+=+1680+
+-8y+%2B+5y+=+1680+-+1920+
+-3y+=+-240+
+y+=+80+
To find x, we can use (1) and submit this value of y
+x+%2B+80+=+240+
+x+=+240+-+80+
+x+=+160+
Therefore, 160 tickets were sold for general admission and 80 for students.
Hope that helps :)