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2004 AMC 10B Problem 1

Problem 1 of 25EasierCounting & Probability

Each row of the Misty Moon Amphitheater has 3333 seats. Rows 1212 through 2222 are reserved for a youth club. How many seats are reserved for this club?

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Solution

Rows 1212 through 2222 inclusive make up 22−12+1=1122 - 12 + 1 = 11 rows. Each row has 3333 seats, so the total is 33×11=363.33 \times 11 = 363. Thus, the correct answer is C.

More practice

Concepts: counting integers in a range · basic counting

Problem text and solution from the LIVE past-contest archive. See also the AoPS wiki page for community solutions.