Foundation June 2017 Paper 1 Q16
16. Ahmed, Blake and Cath are given cash tips when working in a cafe.
They share the tips in the ratio of the hours they work each week.
(a)
One week, Ahmed works for 5 hours, Blake works for 6 hours and Cath works for 12 hours.
Cath’s share of the tips for this week is £18.
Work out Ahmed’s share of the tips. [2]
(b)
The following week, the tips total £72.
Blake works twice as many hours as Ahmed.
Cath works three times as many hours as Ahmed.
How much is Blake’s share of the tips? [3]
| Scheme | Marks | Comments |
|---|---|---|
| \(5 \times \dfrac{18}{12}\) or equivalent | M1 | or 1 hour = (£)18/12 = (£)1.5(0) or equivalent |
| £7.5(0) or 750p | A1 |
| Scheme | Marks | Comments |
|---|---|---|
| 1 + 2 + 3 (= 6) | M1 | Allow for sight of 1 : 2 : 3 or equivalent or for 3 times in the ratio 1 : 2 : 3 seen or implied; may be implied by e.g. a multiple of 6 as the total number of hours |
| (72 ÷ 6) × 2 or equivalent | M1 | FT ‘their 6’ and ‘their 2’, provided ‘their 2’ follows their ratio and is a multiple of 2 |
| £24 | A1 | CAO |
| (5) |