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?

9514 1404 393

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

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!

f(x)=2/3x-8, which give g(x) the greatest value.

step-by-step explanation: