SOLUTION: You are the manager of a theater. On saturday morning you are going over the ticket sales for Friday evening. A total 750 tickets were sold. the tickets for adults and children s

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: You are the manager of a theater. On saturday morning you are going over the ticket sales for Friday evening. A total 750 tickets were sold. the tickets for adults and children s      Log On


   



Question 758338: You are the manager of a theater. On saturday morning you are going over the ticket sales for Friday evening. A total 750 tickets were sold. the tickets for adults and children sold for $7.50 and $4.00, respectively, and the receipts for the performance were $3808.50. however, your assistant manager did not record how many of each type of tickets were sold. From the information you have, can you determine how many of each type were so
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Adults = x
Children = y
x + y = 750.....1
750x + 400y = 380850....2
Multiply (1) by 400
400x + 400y = 300000....3
750x + 400y = 380850....2
Subtract (3) from (2)
350x = 80850
x = 231
Substitute x = 231 in
Eq (1)
x + y = 750
231 + y = 750
y = 750 - 231
y = 519
231 Adults and 519 Children
Hope this helps.
:-)