SOLUTION: Tickets to a local theater were sold at $6.00 for adults and $4.50 for students. If 210 tickets were sold for a total of $1065, how many student tickets were sold?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Tickets to a local theater were sold at $6.00 for adults and $4.50 for students. If 210 tickets were sold for a total of $1065, how many student tickets were sold?       Log On


   

Question 684094: Tickets to a local theater were sold at $6.00 for adults and $4.50 for students. If 210 tickets were sold for a total of $1065, how many student tickets were sold?
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
x = adult
y = students
...
6x+4.5y=1065
x+y=210 ==> rearrange as x = 210-y
...
Substitution
6(210-y) + 4.5y = 1065
1260 - 6y + 4.5y = 1065
1260 - 1.5y = 1065
-1.5y = 1065-1260
-1.5y = -195
y = 130 student's tickets
...
x + 130 = 210
x = 210 - 130 = 80 adult tickets
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