Children and adult tickets were sold for a local play. the children and adult tickets sold for $11 and $16, respectively. of 150 tickets were sold, and the total revenue was $2250 for the night, find the number of children and adult tickets sold.

Given:

1. Children ticket = $11, Adult ticket = $16

2. Total tickets sold = 150

3. Total revenue = $2250

-

Assumed all sold are children tickets:

total revenue = 150 x 11 = $1650

-

Difference in revenue:

$2250 - $1650 = $600

-

Difference in the price of two tickets:

$16 - $11 = $5

-

Find number of adult tickets:

Number of adult tickets = $600 : $5 = 120

-

Find number of children tickets:

Number of children tickets = 150 - 120 = 30

-

Answer: Adult tickets = 120, Children tickets = 30