SOLUTION: A theater sold 1600 tickets for Friday night’s performance. One child ticket costs $9.00 and one adult ticket costs 12 dollars. . The total amount collected was 9000. How many of

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A theater sold 1600 tickets for Friday night’s performance. One child ticket costs $9.00 and one adult ticket costs 12 dollars. . The total amount collected was 9000. How many of      Log On


   

Question 1161211: A theater sold 1600 tickets for Friday night’s performance. One child ticket costs $9.00 and one adult ticket costs 12 dollars. . The total amount collected was 9000. How many of each type of ticket were sold?

Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A theater sold 1600 tickets for Friday night’s performance. One child ticket costs $9.00 and one adult ticket costs 12 dollars. . The total amount collected was 9000. How many of each type of ticket were sold?
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A + C = 1600
12A + 9C = 9000
etc

Answer by ikleyn(52765) About Me  (Show Source):
You can put this solution on YOUR website!
.
A theater sold 1600 tickets for Friday night’s performance. One child ticket costs $9.00 and one adult ticket
costs 12 dollars. The total amount collected was 9000. How many of each type of ticket were sold?
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The condition is self-contradictory.

1600  tickets even at the low price of  $9  is just  1600*9 = 14400,  which is  MUCH  more than  $9000.

The described situation  NEVER  may  happen.

As posted,  the problem  HAS  NO  SOLUTION  in positive numbers.