2018 AMC 8 Problem 1

Attempt Problem 1 of the 2018 AMC 8 below, then check your answer against the video solution and professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2018 AMC 8 solutions, or check the answer key.

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

1.

An amusement park has a collection of scale models, with a ratio of 1:20, 1: 20, of buildings and other sights from around the country. The height of the United States Capitol is 289289 feet. What is the height in feet of its replica at this park, rounded to the nearest whole number?
14 14
15 15
16 16
18 18
20 20
Answer: A
Concepts:ratio and proportionestimation
Small hint:
A 1:201:20 scale means the replica height is the real height divided by 2020.
Big hint:
After dividing 289289 by 2020, round to the nearest whole foot.
Video solution:
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Written solution:
The replica is 28920=14.45\dfrac{289}{20}=14.45 feet tall, which rounds to 1414 feet.
Thus, the correct answer is A.
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