2009 CEMC Gauss (Grade 8) Problems/Problem 12: Difference between revisions
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{{CEMC box|year=2009|competition=Gauss (Grade 8)|num-b=11|num-a=13}} | |||
Latest revision as of 20:17, 19 October 2025
Problem
A temperature measured in degrees Celsius (
) can be converted to degrees Fahrenheit (
) using the formula 
. If the temperature is 
degrees Celsius, what is the temperature in degrees Fahrenheit?
Solution 1
We can simply plug in for in the equation given in the original problem:
~anabel.disher
Solution 2 (answer choices)
We can see that 
, either from memorization, or by getting in terms of .
We can now see that for to be an integer, 
must be an integer divisible by 
, due to the fraction having in the denominator.
This occurs when is an integer. The only answer choice that can be represented as as an integer is 
~anabel.disher
| 2009 CEMC Gauss (Grade 8) (Problems • Answer Key • Resources) | ||
| Preceded by Problem 11 |
Followed by Problem 13 | |
| 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 | ||
| CEMC Gauss (Grade 8) | ||
