SOLUTION: At a movie theater, tickets cost 9.50 for adults and 6.50 for children . A group of 7 moviegoers pays a total of 54.50. How many adults and how many children are in the group.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: At a movie theater, tickets cost 9.50 for adults and 6.50 for children . A group of 7 moviegoers pays a total of 54.50. How many adults and how many children are in the group.      Log On


   

Question 295109: At a movie theater, tickets cost 9.50 for adults and 6.50 for children . A group of 7 moviegoers pays a total of 54.50. How many adults and how many children are in the group.
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
a+c=7 c=7-a
9.5a+6.5c=54.5
9.5a+6.5(7-a)=54.5
9.5a+45.5-6.5a=54.5
3a=9
a=3
c=7-3
c=4
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3*9.5+4*6.5=54.5
28.5+26=54.5