SOLUTION: Tickets for a play at the community theater cost $12 for an adult and $4 for a child. If 130 tickets were sold and the total receipts were $840, how many of each type of ticket we

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Tickets for a play at the community theater cost $12 for an adult and $4 for a child. If 130 tickets were sold and the total receipts were $840, how many of each type of ticket we      Log On


   

Question 15676: Tickets for a play at the community theater cost $12 for an adult and $4 for a child. If 130 tickets were sold and the total receipts were $840, how many of each type of ticket were sold?
Answer by vasu2qute(17) About Me  (Show Source):
You can put this solution on YOUR website!
Let no: of adults be x
Cost of tickets for x adults = 12x
Let no: of children be y
Cost of tickets for y children = 4y
Total no: of tickets sold = x + y = 130 ----(1)
Total amount received =12x + 4y = 840 ----(2)
Equation (2) can be reduced to
3x + y = 210 ----(3) (this is obtained by dividing the equation with 4)
Subracting (1) from (3) we get
2x = 80
x = 40
No: of adults = 85
x + y = 130
40 + y = 130
y = 130 - 40 = 90
No: of children = 90