need help with word problems

Mathematics
Tutor: None Selected Time limit: 1 Day

  1. The equations 5x + 2y = 48 and 3x + 2y = 32 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? 

Jun 18th, 2015

Thank you for the opportunity to help you with your question!

5x+2y =48

3x+2y =32 

Subtracting second equation from first

2x=16

x=8

3*8+2y=32

24+2y=32

2y =32-24 =8

y= 4

x=cost of each adult ticket = 8 

Also 

y= cost of each student ticket = 4

Please let me know if you need any clarification. I'm always happy to answer your questions. If you have any query, I will answer.
Jun 18th, 2015

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