Difference between revisions of "1993 AHSME Problems/Problem 9"
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== Solution == | == Solution == | ||
| + | If country <math>A</math> has <math>\frac{d}{100}</math> of the wealth in the world and <math>c</math> people that means that each person has | ||
| + | <math>\frac{d}{100c}</math> of all the wealth in the world. Using a similar argument for Country <math>B</math> we have that each person has <math>\frac{f}{100e}</math> of the wealth In the world. Evaluating the desired fraction gives us <math>\frac{de}{cf}</math> | ||
<math>\fbox{D}</math> | <math>\fbox{D}</math> | ||
Revision as of 15:42, 8 August 2016
Problem
Country 
has 
of the world's population and 
of the worlds wealth. Country 
has 
of the world's population and 
of its wealth. Assume that the citizens of share the wealth of equally,and assume that those of share the wealth of equally. Find the ratio of the wealth of a citizen of to the wealth of a citizen of .
Solution
If country has 
of the wealth in the world and 
people that means that each person has
of all the wealth in the world. Using a similar argument for Country we have that each person has 
of the wealth In the world. Evaluating the desired fraction gives us 
See also
| 1993 AHSME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 8 |
Followed by Problem 10 | |
| 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. 
