Amovie theater charges $5 for an adult ticket and $2 for a child's ticket. one saturday the theater sold 785 tickets for $3280. how many child tickets in adult tickets were sold for the movie that saturday?

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

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