Question

To convert a temperature reading from degrees Fahrenheit to degrees Regis, multiply the Fahrenheit reading by $\frac{5}{12}$ and subtract 216 from the result. Select from the following, that represents the Fahrenheit reading that is equivalent to a Regis reading of R degrees.

• A. $\frac{5}{12}(R+90)$
• B. $\frac{5}{12}(R-216)$
• C. $\frac{5}{12}(R+216)$
• D. $\frac{12}{5}(R-216)$
• E. $\frac{12}{5}(R+216)$

Answer 1

The correct option is E $\frac{12}{5}(R+216)$

Let, the Fahrenheit degrees be $F$

Regis degrees be $R$

When $F$ mutilplied by $\frac{5}{12}=F\times \frac{5}{12}$

A.T.Q,

$\frac{5}{12}F-216=R$

$⟹\frac{5}{12}F=R+216$

$⟹F=\frac{12}{5}(R+216)$

Answer :E