Higher June 2023 Paper 4 Q3
3
(a) Eve, Jack and Ling share some money in the ratio 2 : 3 : 4.
Jack gets £720.
Jack gets £720.
Work out how much Ling gets. [2]
(b) Amir, Beth and Casey share some money in the ratio 3 : 5 : \(c\).
Casey’s share is \(\frac{2}{3}\) of the total.
Casey’s share is \(\frac{2}{3}\) of the total.
Find the value of \(c\). [3]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 960 | 2 | M1 for \(\frac{720}{3}\) [× 4] may be implied by 240 nfww | |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 16 | 3 | accept any correct method M2 for e.g. their(3 + 5) × 2 oe or \(\frac{2}{3}\){3 × (3 + 5)} oe or [\(c\) =] 3(3 + 5) – (3 + 5) or M1 for e.g. \(\frac{c}{3 + 5 + c} = \frac{2}{3}\) oe or 3 × \(c\) = 2(3 + 5 + \(c\)) or \(c = \frac{2}{3}(3 + 5 + c)\) oe or 3 + 5 = \(\frac{1}{2}c\) or \(\frac{1}{3}\) linked with 3 + 5 | trials : M1 for each correct trial to a max of M2, we need to see the value \(c\) tried and the appropriate fraction |