Question

The movie plex theater sold 1,456 tickets. 6 times as many regular tickets as discounted tickets? How many regular tickets were sold? All movies until 4:00 p.m require a discount ticket, and all movies after 4:00 p.m require a regular-price ticket.Each theater at the movieplex seats 98 people. What is the least number of showings the theater could have shown after 4:00 p.m last Saturday ? Explain how you found your answer

Answer 1

• 1248 regular tickets were sold
• 13 showings

Explanation:

a) Out of each 7 tickets sold, 6 were regular tickets and 1 was a discount ticket. Thus the number of regular tickets sold was ...

... (6/7)×1456 = 1248 . . . regular tickets

b) At 98 seats per showing, it takes ...

... 1248 seats/(98 seats/showing) = 12.7347 showings

to accommodate all the ticket sold.

That is, the least number of showings there could have been is 13.