Math Problem: From Tickets to Millions: The Avatar Story

In 2022, the release of “Avatar: The Way of Water” made headlines not just for its stunning visuals but also for its record-breaking budget. Directed by James Cameron and produced by 20th Century Studios, the film’s budget included production costs, marketing expenses, and post-production work. With high stakes, the studio needed the film to perform exceptionally well at the global box office to break even and turn a profit. This led to discussions about how many tickets needed to be sold to cover costs.

Math Word Problem

Suppose the production and marketing costs for “Avatar: The Way of Water” totaled \$460 million. On average, a movie ticket costs \$12. Every ticket sale contributes directly to covering these costs. If the studio also had to pay a 10% distribution fee on all revenue, what is the minimum number of tickets that must be sold for the movie to break even?

Question: How many tickets must be sold for the movie to cover its \$460 million cost, accounting for the 10% distribution fee?

Options:
A) 41,667,000
B) 42,222,222
C) 42,592,593
D) 50,555,556

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