Percentages, SM-Bank 014

Gary is painting his house over 3 days.

- He paints \(\dfrac{1}{3}\) of the house on the first day.
- He paints \(\dfrac{5}{12}\) of the house on the second day.

In order to finish, what percentage of the house does Gary need to paint on the third day? (2 marks)

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\(25\%\)

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\(\text{Fraction painted}\)	\(=\dfrac{1}{3}+\dfrac{5}{12}=\dfrac{4 + 5}{12}\)
	\(=\dfrac{9}{12}=\dfrac{3}{4}=75\%\)

\(\therefore\ 25\text{% needs to be painted on the third day.}\)