The theater department charged $5 per ticket for admission to the fall play, My Fair Lady. Additionally, they asked for a donation of x dollars per ticket to help buy new costumes. On Friday night, they sold 80 tickets to the fall play, and everyone who bought a ticket donated.Pick all the expressions that represent how much the theater department made on Friday.Multi-select Choices:(A) 5(80+x)(B) 85x(C) 400+80x(D) 80(5+x)
Q. The theater department charged $5 per ticket for admission to the fall play, My Fair Lady. Additionally, they asked for a donation of x dollars per ticket to help buy new costumes. On Friday night, they sold 80 tickets to the fall play, and everyone who bought a ticket donated.Pick all the expressions that represent how much the theater department made on Friday.Multi-select Choices:(A) 5(80+x)(B) 85x(C) 400+80x(D) 80(5+x)
Question Prompt: Question Prompt: Determine the expressions that correctly represent the total earnings of the theater department from ticket sales and donations on Friday night.
Calculate Ticket Revenue: Calculate the total revenue from ticket sales alone.Ticket price = $5, Number of tickets sold = 80.Total from ticket sales = 5×80=$400.
Calculate Total Amount per Ticket: Add the donation amount to the ticket price to find the total amount paid per ticket.Total amount per ticket = Ticket price + Donation per ticket = 5+x dollars.
Calculate Total Revenue: Calculate the total revenue including donations.Total revenue = Number of tickets sold × Total amount per ticket = 80×(5+x).
Compare Expressions: Compare the expressions given in the choices to the calculations.(A) 5(80+x)=400+5x (Incorrect, as it does not account for x being multiplied by 80)(B) 85x (Incorrect, does not represent total revenue, only considers donations incorrectly)(C) 400+80x (Correct, represents $400 from ticket sales and $80x from donations)(D) 80(5+x)=400+80x (Correct, directly matches the calculation from Step 3)
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