Difference between revisions of "2018 AMC 8 Problems/Problem 1"
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<math>\textbf{(A) }14\qquad\textbf{(B) }15\qquad\textbf{(C) }16\qquad\textbf{(D) }18\qquad\textbf{(E) }20</math> | <math>\textbf{(A) }14\qquad\textbf{(B) }15\qquad\textbf{(C) }16\qquad\textbf{(D) }18\qquad\textbf{(E) }20</math> | ||
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+ | ==Solution== | ||
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+ | You can set up a ratio: <math>\frac{1}{20}=\frac{x}{289}</math>. Cross multiplying, you get <math>20x=289</math>. You divide by 20 to get <math>x=14.45</math>. The closest integer is <math>14</math> or <math>\textbf{(A) }14</math> | ||
==See Also== | ==See Also== |
Revision as of 10:58, 21 November 2018
Problem 1
An amusement park has a collection of scale models, with ratio , 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?
Solution
You can set up a ratio: . Cross multiplying, you get . You divide by 20 to get . The closest integer is or
See Also
2018 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by First Problem |
Followed by Problem 2 | |
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All AJHSME/AMC 8 Problems and Solutions |
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