Answer:
Number of adult tickets sold is 98 and number of children tickets sold is 122.
Solution:
Let the number of adult tickets sold be y and the number of children tickets sold be (220-y).
It is given that price of each adult ticket is $9.00
Therefore the price of ‘y’ adult ticket will be $9.00
(y)
Also it is given that the price of each children ticket is $6.00
Therefore the price of (220-y) children ticket will be $6.00
(220-y)
In the question it is given that the box office collected $ 1614. Thus to find the kind of each tickets sold we use the given equation,
9.00y + 6.00(220-y) = 1614
9.00y + (6.00)(220) - 6.00y = 1614
9.00 y + 1320 - 6.00 y = 1614
3y = 1614 - 1320
3y = 234
y = 98
Therefore kind of adult tickets sold = 98 and kind of children tickets sold = (220 - 98) = 122 tickets