Question

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?​

Answer 1

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

`\longrightarrow` 8.50x + 3.50(200 - x) = 1500

`\longrightarrow` 8.5x + 700 - 3.5x = 1500

`\longrightarrow` 8.5x - 3.5x = 1500 - 700

`\longrightarrow` 5x = 800

`\longrightarrow` x =
`\sf (800)/(5)`

`\longrightarrow` x = 160

`\therefore` Total number of adults = 160

Total number of children = 200 - 160 = 40

Answer 2

9514 1404 393

Answer:

• 160 adults
• 40 kids

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.