4MA0 Foundation June 2015 Paper 2 Q19

EdexcelFoundationOld spec3 marksRatio & Basic Proportion

19 Pritam, Sarah and Emily share some money in the ratios 3 : 6 : 4

Sarah gets $15 more than Emily.

Work out the amount of money that Pritam gets.

(3)

Mark scheme

M1: or use of cancelled ratios (eg 3:6:4 = 0.75:1.5:1, 15 ÷ 0.5 (= 30))

M1: dep; or cancelled ratios, (eg 30 × 0.75) or M2 for $15 \div \dfrac{2}{3}$ oe

Scheme	Marks
$\dfrac{6n}{13} - \dfrac{4n}{13} = 15$ or $\dfrac{2n}{13} = 15$ oe or $15 \times \dfrac{13}{2}$ oe or $n = 97.5$	M1
$\dfrac{3}{3 + 6 + 4} \times 97.5$ oe	M1
22.5(0)	A1

M1: dep

M1: For using ratios and seeing 21 : 42 : 28 and 24 : 48 : 32

M1: Correct line or (21 + 24) ÷ 2

Scheme	Marks
\(\dfrac{6n}{13} - \dfrac{4n}{13} = 15\) or \(\dfrac{2n}{13} = 15\) oe or \(15 \times \dfrac{13}{2}\) oe or \(n = 97.5\)	M1
\(\dfrac{3}{3 + 6 + 4} \times 97.5\) oe	M1
22.5(0)	A1