Question

One Sunday night, the Celluloid Cinema sold $ 1,585.75 in tickets. If the theater sold a children's ticket for $ 7.7S and an adult ticket for $ 10.25, a) write an equation to represent this situation. b) If the theater sold 75 children's tickets, solve your equation to find the number of adult tickets.

Answer 1

98 adult tickets

Step-by-step explanation:

Part A

Let the number of children's ticket sold = c

Let the number of adult's ticket sold = a

Cost of a children's ticket = $7.75

Cost of an adult's ticket = $10.25

Total income from ticket sales = $1,585.75

An equation to represent this situation is:

`7.75c+10.25a=1585.75`

Part B

If the number of children's ticket sold, c = 75

Then:

`\begin{gathered} 7.75c+10.25a=1585.75 \\ 7.75(75)+10.25a=1585.75 \\ 581.25+10.25a=1585.75 \\ 10.25a=1585.75-581.25 \\ 10.25a=1004.50 \\ (10.25a)/(10.25)=(1004.50)/(10.25) \\ a=98 \end{gathered}`

The number of adult tickets sold by the cinema is 98.