Question

If the ice point and the steam point temprature on unknoun scale X are 50 degree X & 200 degree X respectively then what is reading in degree X for a temprature of 60 degree celsius

Answer 1

To convert a temperature from degrees Celsius to an unknown scale X where the ice point is 50X and the steam point is 200X, you can set up a proportion based on the different scales. This yields that 60 degrees Celsius is equivalent to 120 degrees X.

Step-by-step explanation:

The problem involves a comparison of the degree Celsius scale to an unknown scale X. The ice point and steam point temperatures in degrees X are defined as being 50X and 200X respectively. In Celsius, the ice point is 0°C and the steam point is 100°C.

To find the equivalent of 60°C in degree X, we can set up a proportion. The difference between the ice point and steam point on both scales is the same proportion, so (200X-50X)/(100°C-0°C) should be equal to (unknown temperature in X - 50X) / (60°C - 0°C).

Solving this equation involves algebra, so first, simplify the first part of the proportion to get 150X/100°C, and simplify the second part to get unknown temperature in X over 60. By solving for the unknown, we find it is 120X.

Learn more about Temperature Conversion