Question:medium

A solution is to be kept between 68°F and 77°F. What is the range in temperature in degree Celsius (C) if the Celsius/Fahrenheit (F) conversion formula is given by  \(F = \frac{9}{5}C + 32\,\, ?\)

Updated On: Jan 23, 2026
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Solution and Explanation

Given:

Temperature range in Fahrenheit:
68°F ≤ F ≤ 77°F

Conversion formula:
\( F = \frac{9}{5}C + 32 \)


Step 1: Convert 68°F to Celsius

\( 68 = \frac{9}{5}C + 32 \)

\( 68 - 32 = \frac{9}{5}C \)

\( 36 = \frac{9}{5}C \)

\( C = \frac{36 \times 5}{9} = 20 \)


Step 2: Convert 77°F to Celsius

\( 77 = \frac{9}{5}C + 32 \)

\( 77 - 32 = \frac{9}{5}C \)

\( 45 = \frac{9}{5}C \)

\( C = \frac{45 \times 5}{9} = 25 \)


Final Answer:

The required temperature range in degree Celsius is:
20°C ≤ C ≤ 25°C

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