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

Answer 1

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

Step-by-step 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 = (9)/(5)*C + 32`

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

`(9)/(5)*C + 32 = 5*C\\(9)/(5)*C - 5*C = -32\\(9*C - 25*C)/(5) = -32\\(-16*C)/(5) = -32\\-16*C = -32*5\\-16*C = -160\\C = (-160)/(-16) = 10\º\text{C}\\F = 5*C = 5*10 = 50\º\text{F}`

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