NandishSS wrote:Temperature on the Celsius scale (C) is related to temperature on the Fahrenheit scale (F) by the formula C = 5/9(F-32). What is the difference between a certain pair of temperatures on the Celsius scale?
(1) The difference between the temperatures on the Fahrenheit scale is 45°.
(2) The greater of the two temperatures is 30° on the Celsius scale
I received a PM requesting that I comment.
C = 5(F-32)/9.
To make the math easier, test values such that F-32 is a multiple of 9.
F-32 = 0, 9, 18...
F = 32, 41, 50...
Statement 1:
Case 1: lower F = 32, higher F = 32+45
Higher temperature on the Celsius scale = (5/9)(32+45-32) = 25.
Lower temperature on the Celsius scale = (5/9)(32-32) = 0.
Difference = 25-0 = 25.
Case 2: lower F = 41, higher F = 41+45
Higher temperature on the Celsius scale = (5/9)(41+45-32) = 30.
Lower temperature on the Celsius scale = (5/9)(41-32) = 5.
Difference = 30-5 = 25.
Since the difference is the same in each case, SUFFICIENT.
Statement 2:
Since the lower temperature can be any value, the difference between the higher temperature and the lower temperature cannot be determined.
INSUFFICIENT.
The correct answer is
A.
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