2007 UNCO Math Contest II Problems/Problem 2
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
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Let the number of men be equal to 
and the number of women be equal to 
, where and are 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:
$%_{married} = \frac{\frac{3}{7}w\times\frac{4}{5}m}{m + w}$ (Error compiling LaTeX. Unknown error_msg)
$%_{married} = \frac{\frac{8}{5}m}{{43}{15}m}$ (Error compiling LaTeX. Unknown error_msg)
$%_{married} = \frac{24}{43} ~ 55.8%$ (Error compiling LaTeX. Unknown error_msg)
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 | ||
