2004 AMC 10B Problem 1

Below is the professionally curated solution for Problem 1 of the 2004 AMC 10B, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2004 AMC 10B solutions, or check the answer key.

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Concepts:counting integers in a range basic counting

Difficulty rating: 770

Each row of the Misty Moon Amphitheater has $33$ seats. Rows $12$ through $22$ are reserved for a youth club. How many seats are reserved for this club?

$297$

$330$

$363$

$396$

$726$

Solution:

Rows $12$ through $22$ inclusive make up $22 - 12 + 1 = 11$ rows.

Each row has $33$ seats, so the total is $33 \times 11 = 363.$

Thus, the correct answer is C.

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