Difference between revisions of "2020 AMC 8 Problems/Problem 14"
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==Video Solution== | ==Video Solution== | ||
+ | https://youtu.be/SPNobOd4t1c (Channel also has resources to prepare for your AIME qualification) | ||
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https://youtu.be/xjwDsaRE_Wo | https://youtu.be/xjwDsaRE_Wo | ||
Revision as of 14:22, 3 January 2021
Problem
There are cities in the County of Newton. Their populations are shown in the bar chart below. The average population of all the cities is indicated by the horizontal dashed line. Which of the following is closest to the total population of all
cities?
Solution 1
We can see that the dotted line is exactly halfway between and
, so it is at
. As this is the average population of all
cities, the total population is simply
.
Solution 2 (estimation)
The dashed line, which represents the average population of each city, is slightly below . Since there are
cities, the answer is slightly less than
, which is closest to
.
Video Solution
https://youtu.be/SPNobOd4t1c (Channel also has resources to prepare for your AIME qualification)
See also
2020 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 13 |
Followed by Problem 15 | |
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.