Answer:
35.6 °C
Step-by-step explanation:
Let the °C be X
The upper scale reading for a Fahrenheit thermometer is 212 °F while the lower scale reading is 32 °F. On the Celsius thermometer, the corresponding scale readings are 100°C and 0°C respectively.
There a reading of 96°F would be
[tex]\frac{96-32}{212-32}[/tex] = [tex]\frac{x-0}{100-0}[/tex]
[tex]\frac{64}{180}[/tex]=[tex]\frac{x}{100}[/tex]
cross multiply
[tex]180x = 6400[/tex]
Divide both sides by 180
[tex]\frac{180x}{180}[/tex] = [tex]\frac{6400}{180}[/tex]
x = 35.5555
x ≈ 35.6