Higher June 2018 Paper 1 Q18
18.
(a) 5 waiters earn a total of £2500 for 2 weeks’ work.
How much would 6 waiters earn for 3 weeks’ work at the same pay rate?
You may assume that all the waiters earn the same amount each week. [3]
(b) \(x\) chefs earn a total of £\(m\) for 5 hours’ work.
You may assume that all the chefs earn the same amount each hour.
You may assume that all the chefs earn the same amount each hour.
(i) Find an algebraic expression for a chef’s hourly rate of pay. [1]
(ii) The chefs get a pay increase of £\(y\) per hour.
Find an expression for the amount earned by a chef who works for 7 hours at this new pay rate. [2]
| Scheme | Marks | Comments |
|---|---|---|
| (£) \(2500 \times \dfrac{6}{5} \times \dfrac{3}{2}\) or equivalent | M2 | Allow for sight of 6 waiters earn £1500 for 1 week or 1 waiter earns £750 for 3 weeks M1 for (£)\(2500 \times \dfrac{3}{2}\) or (£)\(2500 \times \dfrac{6}{5}\) or equivalent or for \(\dfrac{2500}{5\times2}\) or for sight of (1 waiter earns) (£)250 (per week) |
| (£) 4500 | A1 |
| Scheme | Marks | Comments |
|---|---|---|
| (i) (£ per hour =) \(\dfrac{m}{5x}\) | B1 | Accept unsimplified e.g. \(\dfrac{m \div 5}{x}\) |
| (ii) (£) \(7\left(\dfrac{m}{5x} + y\right)\) or equivalent, ISW | B2 | FT ‘their (b)(i)’ B1 for sight of ‘their \(\dfrac{m}{5x}\)’ \(+\ y\) |
| (6) |