# 10) Um viajante, ao desembarcar no aeroporto de Londres, observou que o valor da temperatura do ambiente na escala Fahrenheit é o quíntuplo

Question

10) Um viajante, ao desembarcar no aeroporto de Londres, observou que o valor da temperatura do ambiente na escala Fahrenheit é o quíntuplo do valor da temperatura na escala Celsius. Calcule essa temperatura

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1 year 2021-09-01T21:11:31+00:00 1 Answers 188 views 0

The observed temperature was 10º Celsius or 50º Fahrenheit.

Explanation:

The traveler observed that the temperature in Fahrenheit is five times the value of the temperature in Celsius, therefore:

$$F = 5*C$$

A Fahrenheit temperature relates to a Celsius one by the following expression:

$$F = \frac{9}{5}*C + 32$$

Using the second expression on the first, we can solve for the temperature in Celsius, this is done below:

$$\frac{9}{5}*C + 32 = 5*C\\\frac{9}{5}*C – 5*C = -32\\\frac{9*C – 25*C}{5} = -32\\\frac{-16*C}{5} = -32\\-16*C = -32*5\\-16*C = -160\\C = \frac{-160}{-16} = 10\º\text{C}\\F = 5*C = 5*10 = 50\º\text{F}$$

The observed temperature was 10º Celsius or 50º Fahrenheit.