$9 for adults and $6 for children. if the movie theater cashier collects $1719 from the sale of 200 tickets, how many adult tickets were sold

Hey there!!

We will have to solve this using 2 variables

Let's take the number of adults as ' x '

Let's the number of children as ' y '

The total number of tickets = 200

Let me explain this : If the total number of tickets is equal to 200, then the total number of people is equal to 200

Hence , x + y = 200

$9 for adults

The total cost for adult tickets = 9x

$6 for children

The total cost for children tickets = 6y

The total cost for these tickets = $1719

9x + 6y = 1719

3 ( 3x + 2y ) = 1719

3x + 2y = 573

Now we have two equations

x + y = 200 ( 1 )

3x + 2y = 573 ( 2 )

Now let's multiply the first equation with 2

2 ( x + y ) = 2 ( 200 ) ( 1 )

3x + 2y = 573

2x + 2y = 400

3x + 2y = 573

Now let's subtract the first equation from second

- ( 2x + 2y )  = - ( 400 )

3x + 2y = 573

-2x - 2y = - 400

3x + 2y = 573

x = 173

Hence , the number of adult tickets sold = 173

The required answer = 173

Hope my answer helps!

46.2+112.3

step-by-step explanation:

i think 5 miles per hour

step-by-step explanation: