Equations, SM-Bank 056

The formula for converting degrees Celsius to Fahrenheit is \(F=\dfrac{9C}{5}+32\).

Find \(F\) is \(C=35\). (2 marks)

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Find \(C\) is \(F=68\). (2 marks)

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a. \(F=95\)

b. \(C=20\)

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a.	\(F\)	\(=\dfrac{9C}{5}+32\)
	\(F\)	\(=\dfrac{9\times 35}{5}+32\)
	\(F\)	\(=\dfrac{315}{5}+32\)
	\(F\)	\(=63+32=95\)

b.	\(F\)	\(=\dfrac{9C}{5}+32\)
	\(68\)	\(=\dfrac{9C}{5}+32\)
	\(\dfrac{9C}{5}\)	\(=68-32\)
	\(\dfrac{9C}{5}\)	\(=36\)
	\(9C\)	\(=36\times 5\)
	\(9C\)	\(=180\)
	\(C\)	\(=\dfrac{180}{9}=20\)