Difference between revisions of "1986 AHSME Problems/Problem 8"
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==Problem== | ==Problem== | ||
| − | The population of the United States in <math>1980</math> was <math>226,504,825</math>. The area of the country is <math>3,615,122</math> square miles. | + | The population of the United States in <math>1980</math> was <math>226,504,825</math>. The area of the country is <math>3,615,122</math> square miles. There are <math>(5280)^{2}</math> |
square feet in one square mile. Which number below best approximates the average number of square feet per person? | square feet in one square mile. Which number below best approximates the average number of square feet per person? | ||
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==Solution== | ==Solution== | ||
| − | + | With about <math>230</math> million people and under <math>4</math> million square miles, there are about <math>60</math> people per square mile. Since a square mile is about <math>(5000 \ \text{ft})^{2} = 25</math> million square feet, that gives approximately <math>\frac{25}{60}</math> of a million square feet per person. <math>\frac{25}{60}</math> is approximately half, so the answer is approximately half a million, which is <math>\boxed{E}</math>. | |
== See also == | == See also == | ||
Latest revision as of 17:23, 1 April 2018
Problem
The population of the United States in 
was 
. The area of the country is 
square miles. There are 
square feet in one square mile. Which number below best approximates the average number of square feet per person?
Solution
With about 
million people and under 
million square miles, there are about 
people per square mile. Since a square mile is about 
million square feet, that gives approximately 
of a million square feet per person. is approximately half, so the answer is approximately half a million, which is 
.
See also
| 1986 AHSME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 7 |
Followed by Problem 9 | |
| 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 • 26 • 27 • 28 • 29 • 30 | ||
| All AHSME Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
