Difference between revisions of "2007 UNCO Math Contest II Problems/Problem 2"
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Let the number of men be equal to <math>m</math> and the number of women be equal to <math>w</math>, where <math>m</math> and <math>w</math> are positive whole numbers. Assuming a marriage consists of one man and one woman, we see that the number of married men is equal to the number of married women in the equation: | Let the number of men be equal to <math>m</math> and the number of women be equal to <math>w</math>, where <math>m</math> and <math>w</math> are positive whole numbers. Assuming a marriage consists of one man and one woman, we see that the number of married men is equal to the number of married women in the equation: |
Latest revision as of 18:49, 29 January 2018
Problem
In Grants Pass, Oregon of the men are married to of the women. What fraction of the adult population is married? Give a possible generalization.
Solution
Let the number of men be equal to and the number of women be equal to , where and are positive whole numbers. Assuming a marriage consists of one man and one woman, we see that the number of married men is equal to the number of married women in the equation:
Dividing the the number of married persons by the entire adult population gives us:
Using the above statements, we can derive a generalized formula. If is the fraction of married men and is the fraction of married women, then:
See Also
2007 UNCO Math Contest II (Problems • Answer Key • Resources) | ||
Preceded by Problem 1 |
Followed by Problem 3 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 | ||
All UNCO Math Contest Problems and Solutions |