A community theater sold a total of 400 for price tickets for adults and children the price was $8.00 per adult to get in $5.00 per children's ticket and the total revenue was $2750 how many adult tickets and how many Childers tickets were sold

Number of children's tickets sold = 150

Number of adult's tickets sold = 250

Step-by-step 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