Foundation June 2023 Paper 1 Q23
23
(a) Eve, Jack and Ling share some money in the ratio 2 : 3 : 4.
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 \(\dfrac{2}{3}\) of the total.
Find the value of \(c\). [3]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 960 | 2 | M1 for \(\dfrac{720}{3}\) [\(\times\) 4] may be implied by 240 nfww | |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 16 | 3 | accept any correct method M2 for e.g. their \((3 + 5) \times 2\) oe or \(\dfrac{2}{3}\{3 \times (3 + 5)\}\) oe or [\(c\)=] \(3(3 + 5) - (3 + 5)\) or M1 for e.g. \(\dfrac{c}{3 + 5 + c} = \dfrac{2}{3}\) oe or \(3 \times c = 2(3 + 5 + c)\) or \(c = \dfrac{2}{3}(3 + 5 + c)\) oe or \(3 + 5 = \dfrac{1}{2}c\) or \(\dfrac{1}{3}\) 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 |