Question
A measured temperature on Fahrenheit scale is $${200^ \circ }F.$$ What will this reading be on Celsius scale ?
A.
$${40^ \circ }C$$
B.
$${94^ \circ }C$$
C.
$${93.3^ \circ }C$$
D.
$${30^ \circ }C$$
Answer :
$${93.3^ \circ }C$$
Solution :
$$\eqalign{
& ^ \circ F = \frac{9}{5}{\,^ \circ }C + 32 \cr
& 200 = \frac{9}{5}\left( {^ \circ C} \right) + 32 \cr
& \,\,\,\,\,\,\,\,\,\, = \left( {200 - 32} \right) \times \frac{5}{9} \cr
& \,\,\,\,\,\,\,\,\,\, = {93.3^ \circ }C \cr} $$