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Last Saturday the Movie Plex theater sold 1456 tickets the theater so six times as many regular price tickets as it's so discount tickets Earl says that the expression 1456 / 6 gives the number of discount tickets is Earl correct if not write the correct expression explain your answer man thinks that the theater sold 1256 regular price tickets Jonah says that 1248 regular price ticket was sold do you agree with either person explain the reasoning all movies until 4 p.m. require discount tickets and all movies after 4 p.m. require a regular price ticket theater at the Movie Plex eats 98 people what is the least number of showings the theater could have shown after 4 p.m. last Saturday explain how you found your answer

Answer :

sqdancefan

9514 1404 393

Answer:

  • Earl is not correct. The correct expression is 1456/7.
  • Jonah is correct.
  • 13 showings

Step-by-step explanation:

a) If d represents the number of discount tickets sold, the number of regular tickets sold is 6d, and the total sold is d+6d = 7d. If 1456 total tickets were sold, we have ...

  7d = 1456

  d = 1456/7 . . . . the number of discount tickets

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b) The number of regular tickets sold is 6d, so is ...

  6d = 6(1456/7) = (6/7)(1456) = 1248

Jonah is correct that 1248 regular price tickets were sold.

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c) Seating 98 people at a time will require ...

  1248/98 ≈ 12.7 seatings

One cannot have a partial seating, and 12 is too few for the number of people.

At least 13 seatings were required to accommodate 1248 people who bought regular-price tickets.

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