2018 AMC 8 Problems/Problem 1

Problem 1

An amusement park has a collection of scale models, with ratio $1 : 20$ , 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 replica to the nearest whole number?

$\textbf{(A) }14\qquad\textbf{(B) }15\qquad\textbf{(C) }16\qquad\textbf{(D) }18\qquad\textbf{(E) }20$

Solution

You can set up a ratio: $\frac{1}{20}=\frac{x}{289}$ . Cross multiplying, you get $20x=289$ . You divide by 20 to get $x=14.45$ . The closest integer is $\boxed{\textbf{(A)}14}$

2018 AMC 8 (Problems • Answer Key • Resources)
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All AJHSME/AMC 8 Problems and Solutions

These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions.

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2018 AMC 8 Problems/Problem 1

Problem 1

Solution

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