Answer:
13 showings.
Step-by-step explanation:
Using the information about the question given in the comments, we know that there are 1456 tickets sold the weekend in question. We also know that they sold 6 times as many regular price tickets as they did discount tickets.
Let r represent regular price tickets and d represent discount tickets. Since there were 6 times more regular price than discount, we get
r = 6d
Together, there were 1456 tickets sold:
r + d = 1456
Substitute our value from the first equation into the second:
6d + d = 1456
Combine like terms:
7d = 1456
Divide both sides by 7:
7d/7 = 1456/7
d = 208
There were 208 discount tickets sold. This means there were 6(208) = 1248 regular price tickets sold.
The regular price tickets are sold after 4:00. There are 98 seats in each showing; this means they needed
1248/98 = 12.7 ≈ 13 showings.
