SOLUTION: Tickets to a soccer match cost $17.25 for adults and $10.50 for students. A group of people purchased 25 tickets for $336.75. How many student tickets were purchased?

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Question 1110755: Tickets to a soccer match cost $17.25 for adults and $10.50 for students. A group of people
purchased 25 tickets for $336.75.
How many student tickets were purchased?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Adult x tickets
students y tickets
Equation for tickets

1 x + 1 y = 25 .............1

Equation for amount spent
17.25 x + 10.50 y = 336.75 .............2
Eliminate y
multiply (1)by -10.50
Multiply (2) by 1
-10.50 x -10.50 y = -262.50
17.25 10.50 y = 336.75
Add the two equations
6.75 x = 74.25
/ 6.75
x = 11.00
plug value of x in (1)
11.00 x + y = 25.00
11.00 + y = 25.00
y = 14.00


Adult 11 tickets
students 14 tickets
m.ananth@hotmail.ca