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>. | |
− | It is basically Solution 1 without the ratio calculation, | + | It is basically Solution 1 without the ratio calculation, but Solution 1 is referring further to the problem. |
==Solution 3== | ==Solution 3== |
Revision as of 17:31, 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, but 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.