Answer:
Number of children tickets sold on that Saturday is 215 while
number of adult tickets sold on that Saturday is 570
Step-by-step explanation:
Let x = number of children ticket
Let y = number of adult ticket
One Saturday the theater Sold 785 tickets. This means
x+y=785 - - - - - -1
785 tickets sold for $3280
The amount which the movie theatre charge for adult ticket = $5
The amount which the movie theatre charge for children ticket = $2
2x + 5y = $3280 - - - - - -2
From equation 1, x = 785-y
Put x = 785-y in equation 2
2(785-y) + 5y = 3280
1570-2y+5y= 3280
3y = 3280-1570=1710
y = 1710/3 = 570
x = 785- y = 785-570= 215
Number of children tickets sold on that Saturday is 215 while
number of adult tickets sold on that Saturday is 570
