2004 AMC 10B Problem 1

Attempt Problem 1 of the 2004 AMC 10B below, then check your answer against the professionally curated solution 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.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

1.

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?
297297
330330
363363
396396
726726
Answer: C
Concepts:counting integers in a rangebasic counting
Small hint:
Count how many rows run from 1212 through 2222 inclusive
Big hint:
Multiply the number of rows by 3333
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.
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