Bree123e
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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?​

Respuesta :

sqdancefan

9514 1404 393

Answer:

  • 160 adults
  • 40 kids

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.

Cathenna

Answer:

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

[tex] \longrightarrow [/tex] 8.50x + 3.50(200 - x) = 1500

[tex] \longrightarrow [/tex] 8.5x + 700 - 3.5x = 1500

[tex] \longrightarrow [/tex] 8.5x - 3.5x = 1500 - 700

[tex] \longrightarrow [/tex] 5x = 800

[tex] \longrightarrow [/tex] x = [tex] \sf \dfrac{800}{5} [/tex]

[tex] \longrightarrow [/tex] x = 160

[tex] \therefore [/tex] Total number of adults = 160

Total number of children = 200 - 160 = 40