SOLUTION: Your class sells a total of 64 tickets to a play. A student ticket costs $1, and an adult ticket costs $2.50. Your class collects $109 in total ticket sales. How many adult ticke

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: Your class sells a total of 64 tickets to a play. A student ticket costs $1, and an adult ticket costs $2.50. Your class collects $109 in total ticket sales. How many adult ticke      Log On


   

Question 962522: Your class sells a total of 64 tickets to a play. A student ticket costs $1, and an adult ticket costs $2.50. Your class collects $109 in total ticket sales. How many adult tickets did you sell? How many student tickets did you sell?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Your class sells a total of 64 tickets to a play. A student ticket costs $1, and an adult ticket costs $2.50. Your class collects $109 in total ticket sales. How many adult tickets did you sell? How many student tickets did you sell?
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Quantity Eq:: s + a = 64 tickets
Value Eq:::: s + 2.5a = 109 dollars
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Subtract and solve for "a"::
1.5a = 45
a = 30 (# of adult tickets sold)
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s = 64-30 = 34 (# of student tickets sold)
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Cheers,
Stan H.
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