Higher January 2019 Paper 1R Q2

2 There are 60 children in a club.

In the club, the ratio of the number of girls to the number of boys is 3 : 1

\(\dfrac{3}{5}\) of the girls play a musical instrument.

\(\dfrac{4}{5}\) of the boys play a musical instrument.

What fraction of the 60 children play a musical instrument?

(4)

Mark scheme

Scheme	Marks
\(\dfrac{3}{4} \times 60\) (= 45) or \(\dfrac{1}{4} \times 60\) (= 15) OR \(\dfrac{3}{4} \times \dfrac{3}{5} \left(= \dfrac{9}{20}\right)\)	M1
\(\dfrac{3}{5} \times\) “45” (= 27) or \(\dfrac{4}{5} \times\) “15” (= 12) OR \(\dfrac{1}{4} \times \dfrac{4}{5} \left(= \dfrac{4}{20}\right)\)	M1
\(\dfrac{\text{``}{27}\text{''} + \text{``}{12}\text{''}}{60}\) OR \(\text{``}{\dfrac{9}{20}}\text{''} + \text{``}{\dfrac{4}{20}}\text{''}\)	M1
\(\dfrac{13}{20}\)	A1
	(4)
	(4 marks)

M1: For a complete method

A1: oe