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The equations 5x + 2y = 76 and 3x + 2y = 40 represent the money collected from movie sales during one showing. If x represents the cost for each adult ticket and y represents the cost for each student ticket, what is the cost for each adult ticket?

 Sep 18, 2015

Best Answer 

 #2
avatar+130516 
+5

5x + 2y = 76

3x + 2y = 40    multiply this equation by -1 and add it to the first

 

5x + 2y = 76

-3x - 2y = -40

------------------

2x  = 36      divide both sides by 2

 

x  = $18  = the cost of an adult ticket

 

Of course......we do have a problem here.......the cost of the other ticket is  (-$7)........!!!!!

 

 

cool cool cool

 Sep 18, 2015
edited by CPhill  Sep 18, 2015
 #1
avatar
0

x=8

y=8

 Sep 18, 2015
 #2
avatar+130516 
+5
Best Answer

5x + 2y = 76

3x + 2y = 40    multiply this equation by -1 and add it to the first

 

5x + 2y = 76

-3x - 2y = -40

------------------

2x  = 36      divide both sides by 2

 

x  = $18  = the cost of an adult ticket

 

Of course......we do have a problem here.......the cost of the other ticket is  (-$7)........!!!!!

 

 

cool cool cool

CPhill Sep 18, 2015
edited by CPhill  Sep 18, 2015
 #3
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CPhill: x=18 Does NOT work the way he/she has written the equations.

 Sep 18, 2015
 #4
avatar+130516 
+5

Well, Guest.....here's a graph of both equations.....as you can see, (18, -7)  is the solution point

 

https://www.desmos.com/calculator/d439snijlp

 

The other posted  solution of (8, 8)  cannot be correct...............it doesn't "work" in the first equation........!!!!

 

 

 

 

cool cool cool

 Sep 18, 2015
 #5
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0

CPhill: I simply modified his/her 76 to 56!!!!!!!. He/she has obviously made a mistake.

 Sep 18, 2015

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