Question

If the two temperatures on Fahrenheit scale differ by \(54^{\circ}\text{F}\), then the difference in temperature on the Celsius scale is

• A. \(30^{\circ}\text{C}\)
• B. \(35^{\circ}\text{C}\)
• C. \(40^{\circ}\text{C}\)
• D. \(45^{\circ}\text{C}\)

Hint:

The size of one Celsius degree is 9/5 of a Fahrenheit degree.

Answer 1

The Correct Option is A

Step 1: Degree Sizes:
Between freezing and boiling there are 100 Celsius degrees and 180 Fahrenheit degrees. So 1 Fahrenheit degree is $5/9$ of a Celsius degree.

Step 2: Convert:
$54\times\dfrac59=30$.

Step 3: Answer:
Option (A).

Final Answer:
Option (A). \[ \boxed{\text{(A) } 30^{\circ}\text{C}} \]