Question

The formula to convert °F to °C is C =5/9 (F – 32).

Convert 50°C to °F.

10°F

20°F

122°F

132°F

Answer 1

122°F is the correct answer.

Explanation:

We are given a formula to convert:

°F to °C as:

C =5/9 (F – 32).

i.e.
`C=(5)/(9)* (F-32)\\\\9C=5* (F-32)\\\\9C=5F-160\\\\5F=9C+160\\\\F=(1)/(5)* (9C+160)------(1)`

Now we are asked to convert 50°C to °F.

i.e. we are given C=50 and asked to find the value of F from equation (1).

`F=(1)/(5)* (9* 50+160)\\\\F=(1)/(5)* (450+160)\\\\F=(1)/(5)* (610)\\\\F=122`

Hence 50°C= 122°F.

Answer 2

C = 5/9(F - 32)
C = 50

50 = 5/9(F - 32)
50 * 9/5 = F - 32
90 = F - 32
90 + 32 = F
122 = F <===