SOLUTION: A 275 seat movie theater charges $11.00 admission for adults and $6.00 for children. If the theater is full and $2745 is collected, then how many adults and how many children are i

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A 275 seat movie theater charges $11.00 admission for adults and $6.00 for children. If the theater is full and $2745 is collected, then how many adults and how many children are i      Log On


   

Question 1135638: A 275 seat movie theater charges $11.00 admission for adults and $6.00 for children. If the theater is full and $2745 is collected, then how many adults and how many children are in the audience?

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
A+C=275 (number of each equation)
11A+6C=2745 (money equation). Multiply top equation by -6 to eliminate C
-6A-6C=-1650
5A=1095
A=219 adults or $2409
C=56 children or $336
Adds to $2745