SOLUTION: A movie theater charges $5 admission for an adult and $3 for a child. If 700 tickets were sold and the total revenue received was $2900, how many tickets of each type were sold

Question 1088917: A movie theater charges $5 admission for an adult and $3 for a child. If 700
tickets were sold and the total revenue received was $2900, how many
tickets of each type were sold?
Answer by ikleyn(52776) (Show Source): You can put this solution on YOUR website!
.

 a +  c =  700,    (1)   (a = # of adults; c = # of children)
5a + 3c = 2900.    (2)


Express a = 700 - c from 1) and substitute it into equation (2). You will get

5*(700 - c) + 3c = 2900.


Simplify and solve for c:

3500 - 5c + 3c = 2900,

-2c = 2900 - 3500  ====>  -2c = - 600  ====>  c =  = 300.


Answer.  300 children and 700-300 = 400 adults.

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