SOLUTION: A local movie theater charges $6 for each adult ticket (a) and $3.50 for each child ticket (c). If the theater sold a total of 65 adult and child tickets for a total of $340, how m

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A local movie theater charges $6 for each adult ticket (a) and $3.50 for each child ticket (c). If the theater sold a total of 65 adult and child tickets for a total of $340, how m      Log On


   

Question 1007564: A local movie theater charges $6 for each adult ticket (a) and $3.50 for each child ticket (c). If the theater sold a total of 65 adult and child tickets for a total of $340, how many of each type of ticket was sold?
Answer by tiffany222(56) About Me  (Show Source):
You can put this solution on YOUR website!
Let adult ticket be a
Let child ticket be c
a + c = 65
6a + 3.5c = 340
Multiply first equation by 6 to eliminate a:
6a + 6c = 390
6a + 3.5c = 340
Subtract the equations:
2.5c = 50
c = 20
Substitute c to get a:
a + c = 65
a + 20 = 65
a = 45
Final Answer:
Adult Tickets= 45
Child Tickets= 20