Difference between revisions of "2018 AMC 8 Problems/Problem 1"
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We can compute <math>\frac{289}{20}</math> and round your answer to get <math>\boxed{\textbf{(A)}14}</math>. | We can compute <math>\frac{289}{20}</math> and round your answer to get <math>\boxed{\textbf{(A)}14}</math>. | ||
| − | It is basically Solution 1 without the ratio calculation, | + | It is basically Solution 1 without the ratio calculation. However, Solution 1 is referring further to the problem. |
==Solution 3== | ==Solution 3== | ||
Revision as of 16:33, 7 December 2020
Problem 1
An amusement park has a collection of scale models, with a 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 duplicate to the nearest whole number?
Solution 1
You can see that since the ratios 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. So the answer is 
. ~avamarora.
Solution 2
We can compute 
and round your answer to get .
It is basically Solution 1 without the ratio calculation. However, Solution 1 is referring further to the problem.
Solution 3
We know that 
and that 
These are the multiples of 
around 
and the closest one of those is 
Therefore, the answer is 
See also
| 2018 AMC 8 (Problems • Answer Key • Resources) | ||
| Preceded by First Problem |
Followed by Problem 2 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
| All AJHSME/AMC 8 Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
