SOLUTION: The manager of a movie theater found that Staurday's sales were $3675. He knew that a total of 650 tickets were sold Satueday. Adult tickets cost $7.50, and children's tickets cost

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Question 184216: The manager of a movie theater found that Staurday's sales were $3675. He knew that a total of 650 tickets were sold Satueday. Adult tickets cost $7.50, and children's tickets cost $4.50.
1. Write equtions to represent the number of tickets sold and the amount of money collected.
2. How many of each kind if ticket were sold?

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
7.5x+4.5(650-x)=3675
7.5x+2925-4.5x=3675
3x=3675-2925
3x=750
x=750/3
x=250 adult tickets were sold.
650-250=400 children tickets were sold.
proof:
7.5*250+4.5*400=3675
1875+1800=3675
3675=3675