Foundation November 2018 Paper 3 Q8
8 Beth sells hot dogs at a market.
Each hot dog is a sausage in a bread roll.
The table shows her costs.
| Fee paid to market | £240 |
| Bread rolls | 42p per pack of 6 |
| Sausages | £2.50 per jar of 10 |
| Other costs | £57 |
Beth sells the hot dogs for £3 each.
She sells 300 hot dogs.
Work out her total profit. [5 marks]
| Answer | Mark | Comments |
|---|---|---|
| Alternative method 1 | ||
| \(300 \times 3\) or 900 | M1 | hot dog sales |
| \(300 \div 6\) or 50 or \(300 \div 10\) or 30 | M1 | packs of bread rolls jars of sausages |
| their \(50 \times 42\ (\div 100)\) or 2100 or 21 or their \(30 \times 2.5(0)\) or 75 or 96 or 393 | M1dep | dep on 2nd M1 cost of bread rolls or cost of sausages cost of bread rolls and sausages total costs |
| their 900 – (their 21 + their 75 + 240 + 57) or their 900 – their 393 | M1dep | oe dep on all M marks total profit from sales – costs |
| 507 | A1 | correct money notation |
| Alternative method 2 | ||
| \(240 \div 300\) or 0.8 or \(42 \div 6\) or 7 or \(2.5(0) \div 10\) or 0.25 or \(57 \div 300\) or 0.19 | M1 | market fee per hot dog cost of bread roll per hot dog cost of sausage per hot dog other costs per hot dog |
| Any two of \(240 \div 300\) or 0.8 \(42 \div 6\) or 7 \(2.5(0) \div 10\) or 0.25 \(57 \div 300\) or 0.19 | M1dep | |
| their 0.8 + their 0.07 + their 0.25 + their 0.19 or 1.31 | M1dep | total cost per hot dog their values must come from correct calculations 1.69 implies M3 |
| (3 – their 1.31) \(\times\) 300 or \(1.69 \times 300\) | M1dep | total profit for 300 hot dogs |
| 507 | A1 | correct money notation |
Additional guidance
| Accept working in pounds or pence for all four method marks | |
| In Alt1 units must be consistent for the 4th method mark | |
| In Alt2 units must be consistent for the 3rd method mark | |
| Condone £507.00p | M1M1M1M1A1 |
| Answer £507.0 | M1M1M1M1A0 |