2024 AMC 12B Problem 1

Attempt Problem 1 of the 2024 AMC 12B 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 2024 AMC 12B solutions, or check the answer key.

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1.

In a long line of people arranged left to right, the 1013th person from the left is also the 1010th person from the right. How many people are in the line?

20212021

20222022

20232023

20242024

20252025

Answer: B
Concepts:counting integers in a rangebasic counting
Difficulty rating: 890
Solution:

The target person has 10131=10121013 - 1 = 1012 people to the left and 10101=10091010 - 1 = 1009 people to the right. Including the person themself, the line has 1012+1009+1=20221012 + 1009 + 1 = 2022 people.

Thus, the correct answer is B.

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