Two thermometers, one celsius, and the other Fahrenheit are put in a hot bath. The reading on the Fahrenheit thermometer is just three times the reading on the celsius thermometer. What is the temperature of the bath in degrees celsius?

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36.67⁰C

46.67⁰C

56.67⁰C

26.67⁰C

answer is C.

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Detailed Solution

The Fahrenheit scale(F) is three times that of the celsius scale(C). This implies that we can write

$F = 3 C$

The relation between the temperature of an object in centigrade and Fahrenheit is given as:
$\frac{C}{5} = (\frac{F - 32}{9})$

$\frac{(3 C - 32)}{9} = \frac{C}{5}$

$15 C - 160 = 9 C$

$6 C = 160$

$C = \frac{160}{6}$

$C = 26 . 6^{0} C$

Therefore, the temperature conversion with Fahrenheit being three times that of celsius is 26.67⁰C.

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