2018 AMC 8

Complete problem set with solutions and individual problem pages

Problem 1 Easy

An amusement park has a collection of scale models, with a ratio of 1: 20, of buildings and other sights from around the country. The height of the United States Capitol is 289 feet. What is the height in feet of its duplicate to the nearest whole number?

  • A.

    14

  • B.

    15

  • C.

    16

  • D.

    18

  • E.

    20

Answer:A

Solution 1

You can see that since the ratio of real building's heights to the model building's height is 1:20. We also know that the U.S Capitol is 289 feet in real life, so to find the height of the model, we divide by 20. That gives us 14.45 which rounds to 14. Therefore, to the nearest whole number, the duplicate is \boxed{\textbf{(A) }14}.

 

Solution 2

We can compute \frac{289}{20} and round our answer to get \boxed{\textbf{(A) }14}. It is basically Solution 1 without the ratio calculation. However, Solution 1 is referring further to the problem.

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