Difference between revisions of "1991 AJHSME Problems/Problem 21"
5849206328x (talk | contribs) (Created page with '==Problem== For every <math>3^\circ </math> rise in temperature, the volume of a certain gas expands by <math>4</math> cubic centimeters. If the volume of the gas is <math>24</…') |
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Latest revision as of 23:08, 4 July 2013
Problem
For every 
rise in temperature, the volume of a certain gas expands by 
cubic centimeters. If the volume of the gas is 
cubic centimeters when the temperature is 
, what was the volume of the gas in cubic centimeters when the temperature was 
?
Solution
We know that
![\[T=32-3k\Rightarrow V=24-4k.\]](http://latex.artofproblemsolving.com/e/5/8/e58a51b2e819c2e60471402319916c570aea2ecb.png)
Setting 
, we get the volume when the temperature is , which is 
.
See Also
| 1991 AJHSME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 20 |
Followed by Problem 22 | |
| 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. 
