SOLUTION: Tickets to a school play cost $1.50 if bought in advance, and $2.00 if bought at the door. By selling all 200 of their tickets, the players brought $360. How many of the tickets we

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Tickets to a school play cost $1.50 if bought in advance, and $2.00 if bought at the door. By selling all 200 of their tickets, the players brought $360. How many of the tickets we      Log On


   

Question 758045: Tickets to a school play cost $1.50 if bought in advance, and $2.00 if bought at the door. By selling all 200 of their tickets, the players brought $360. How many of the tickets were sold in advance?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Tickets to a school play cost $1.50 if bought in advance, and $2.00 if bought at the door. By selling all 200 of their tickets, the players brought $360. How many of the tickets were sold in advance?
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Equations:
Quantity Eq: a + d = 200 tickets
Value Eq:: 1.5a+2d = 360 dollars
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Modify for elimination:
4a + 4d = 800
3a + 4d = 720
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Subtract and solve for "a":
a = 80 (# of advance tickets sold)
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Solve for "d":
a + d = 200
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d = 120 (# of door tickets sold)
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Cheers,
Stan H.
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