SOLUTION: Tickets to a production of A Midsummer Night's Dream at Broward College cost $5 for general admission or $4 with a student ID. If 184 people paid to see a performance and $812 was

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Tickets to a production of A Midsummer Night's Dream at Broward College cost $5 for general admission or $4 with a student ID. If 184 people paid to see a performance and $812 was       Log On


   

Question 1057504: Tickets to a production of A Midsummer Night's Dream at Broward College cost $5 for general admission or $4 with a student ID. If 184 people paid to see a performance and $812 was collected, how many of each type of ticket were sold?
Answer by ikleyn(52867) About Me  (Show Source):
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Tickets to a production of A Midsummer Night's Dream at Broward College cost $5 for general admission or $4 with a student ID.
If 184 people paid to see a performance and $812 was collected, how many of each type of ticket were sold?
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One approach is to write the system of two equations

 x +  y = 184   (1)   (for the number of people / or tickets sold)
5x + 4y = 812   (2)   (for the amount collected).

And then solve it by any method you know (substitution, for example).


The other approach is to write a unique (a single) equation for the number of students y, for example.
The equation is

5(184-y) + 4y = 812   (for the amount collected).

Now simplify and solve it.