There is a new kids movie out that everyone is seeing. On the first night the theater sold 200 tickets total. Adult tickets are $8.50, child tickets are $3.50, and they made $1,500 dollars that night. How many adults and how many children saw the movie?

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Step-by-step explanation:

Let 'a' represent the number of adult tickets sold. Then (200-a) is the number of child tickets sold. The total revenue is ...

  8.50a +3.50(200 -a) = 1500

  5a = 800 . . . . . . . . . . . . . . . . . . . subtract 700 and collect terms

  a = 160

  (200-a) = 40

160 adults and 40 children paid to see the movie.

160 adults and 40 children saw the movie on the first night.

Step-by-step explanation:

Total number of tickets sold = 200

Let the total number of adults be 'x'

So, Total number of children = 200 - x

Cost of adult tickets = $8.50

Cost of child tickets = $3.50

Total sum made on first night = $1,500

Total sum made on first night is equal to total cost of adult tickets + total cost of child tickets

8.50x + 3.50(200 - x) = 1500

8.5x + 700 - 3.5x = 1500

8.5x - 3.5x = 1500 - 700

5x = 800

x =

x = 160

Total number of adults = 160

Total number of children = 200 - 160 = 40

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2

9 x 8 divided by (5-3)=36