Question

The temperature recorded by an accurate Celsius thermometer and a Fahrenheit thermometer are $60°$ and $141°$. What is the mistake in the measurement of the Fahrenheit scale?

Answer 1

Step 1: We have

The temperature on the Celsius scale $=60°C$

The temperature on the Fahrenheit scale $=141°F$

Step 2: To find the mistake in the measurement of the Fahrenheit scale

We know that

$\frac{C}{5}=\frac{F-32}{9}$

$\frac{60}{5}=\frac{F-32}{9}$

$\frac{F-32}{9}=12$

$F-32=\left(12\times 9\right)$

$F=32+108$

$F=140°F$

So, the temperature on the Fahrenheit scale is $140°F$

Hence, the mistake is in the measurement of the Fahrenheit scale. The temperature on the Fahrenheit scale must be $140°F$.