2018 AMC 8 Problems/Problem 1
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 
. That is how I did it ~avamarora.
Solution 2
You can just do 
and round your answer to get .
It is basically Solution 1 without the ratio calculation, which might not be necessary.
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. 
