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5
5
Part of
2008 Stanford Mathematics Tournament
Problems
(1)
Fahrenheit and Celsius
Source:
3/16/2010
One day, the temperature increases steadily from a low of
4
5
∘
F
45^\circ \text{F}
4
5
∘
F
in the early morning to a high of
7
0
∘
F
70^\circ \text{F}
7
0
∘
F
in the late afternoon. At how many times from early morning to late afternoon was the temperature an integer in both Fahrenheit and Celsius? Recall that C \equal{} \frac {5}{9}(F \minus{} 32).