Answer:
Number of children's tickets sold = 150
Number of adult's tickets sold = 250
Explanation:
The total number of tickets sold = 400
Let us assume the number of children's tickets = m
So, the number of adult's ticket's sold = 400 - m
Here, the cost of 1 movie ticket for adult = $8.00
So, the cost of (400 -m) adult tickets = (400 - m) ( Cost of 1 adult ticket)
= (400 - m) ($8) = 3200 - 8 m
The cost of each ticket for child = $5.00
The cost of m children tickets = m ( Cost of 1 children ticket)
= m($5) = 5 m
Now, total cost of tickets = Money spend on (Adult's + children's) Ticket
⇒ 2750 = (3200 - 8 m) + (5 m)
or, 2750 - 3200 = -8 m + 5 m
or, -450 = -3 m
or, m = 450/3 = 150
or, m = 150
Hence, the number of children's tickets = m = 150
The number of adult's tickets sold = 400 - m = 400 -150 = 250