Calculate the point on the Fahrenheit scale when numerically it is 100 degrees larger than that of the Celsius scale for the same temperature.

Question

Quizplus · Accepted Answer

Let's assume the temperature in Celsius scale to be x. Then according to the given condition, the temperature in Fahrenheit scale will be x+100. 
Using the conversion formulas, we have: 
F = (9/5)*C + 32 
Substituting the values, we get: 
x+100 = (9/5)*x + 32 
Solving for x, we get x = 60. 
So the temperature in Celsius scale is 60 degrees and the temperature in Fahrenheit scale is 140 degrees. 
Therefore, the point on the Fahrenheit scale when numerically it is 100 degrees larger than that of the Celsius scale for the same temperature is (140-60) = 80 degrees higher than the temperature in Celsius scale. 
So the point on the Fahrenheit scale is (60+80) = 140 degrees + 80 degrees = 220 degrees. 
Converting back to Fahrenheit scale, we get: 
C = (5/9)*(F-32) 
C = (5/9)*(220-32) 
C = 94.44 
Therefore, the answer is C) 185.

Calculate the Point on the Fahrenheit Scale When Numerically It