Difference between revisions of "2018 AMC 8 Problems/Problem 1"
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==Solution 2== | ==Solution 2== | ||
| − | Also, you can note that <math>20\cdot14</math> is <math>280</math>, and that <math>20\cdot15</math> is <math>300</math>. Since <math> | + | Also, you can note that <math>20\cdot14</math> is <math>280</math>, and that <math>20\cdot15</math> is <math>300</math>. Since <math>300</math> is closer to <math>280</math>, the answer is <math>\boxed{\textbf{(A)}15}</math> ~ Mathscienceclass |
==See Also== | ==See Also== | ||
Revision as of 19:05, 3 November 2019
Contents
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 1
You can set up a ratio: 
. Cross multiplying, you get 
. You divide by 
on each side to get 
. The closest integer is 
Solution 2
Also, you can note that 
is 
, and that 
is 
. Since is closer to , the answer is 
~ Mathscienceclass
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. 
