SOLUTION: A movie ticket for an adult cost $9.00 and it cost $7.00 for a child. If a total of 118 tickets were sold and the movie theater collected $1022.00 how many adult tickets and how Ma

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: A movie ticket for an adult cost $9.00 and it cost $7.00 for a child. If a total of 118 tickets were sold and the movie theater collected $1022.00 how many adult tickets and how Ma      Log On

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Question 520653: A movie ticket for an adult cost $9.00 and it cost $7.00 for a child. If a total of 118 tickets were sold and the movie theater collected $1022.00 how many adult tickets and how Many childrens tickets were sold?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Adult x Tickets
child y Tickets

1 x + 1 y = 118 .............1
9 x + 7 y = 1022 .............2
Eliminate y
multiply (1)by -7
Multiply (2) by 1
-7 x -7 y = -826
9 x 7 y = 1022
Add the two equations
2 x = 196
/ 2
x = 98
plug value of x in (1)
1 x + 1 y = 118
98 + 1 y = 118
1 y = 118 -98
1 y = 20
y = 20
Adult 98 Tickets
child 20 Tickets
m.ananth@hotmail.ca