Foundation June 2018 Paper 2 Q13
13. Eight friends go to a restaurant for a meal.
The bill comes to a total of £280.
The friends agree to
- add at least 12% to the bill to give a tip,
- share the bill equally,
- pay a whole number of pounds.
Gordon says that each of the friends must pay £39.
Decide whether Gordon is correct or incorrect.
You must show all your working and give a reason for your answer. [4]
| Scheme | Marks | Comments |
|---|---|---|
| 280 + 0.12 x 280 or equivalent | M1 | |
| = (£) 313.6(0) | A1 | |
| (313.6(0) ÷ 8 =) (£)39.2(0) (each) or (39 x 8 =) (£)312 | B1 | FT ‘their 313.60’ ÷ 8 |
| Decision e.g. ‘Gordon is wrong as this needs rounding up to (£)40 so that they add at least 12%’ or ‘Gordon is wrong as they have added less than 12%’. ‘£39 is not enough as each needs to pay £39.20 (or more)’ | E1 | FT ‘their (£)313.6(0) or (£)312 or (£)39.20’ with correct interpretation provided at least 2 marks previously awarded. You may see total 314÷8 or 320÷8 = 40. |
| (4) |
Alternative
Alternative method 1
| Scheme | Marks | Comments |
|---|---|---|
| 39 x 8 = 312 | B1 | |
| 312 – 280 = 32 | M1 | |
| 32÷280x100 = 11.4(%) | A1 | |
| No, e.g. ‘11.4% is less than 12%’ | E1 |
Alternative method 2
| Scheme | Marks | Comments |
|---|---|---|
| 280÷8 = 35 | B1 | |
| 35 x 1.12 or equivalent | M1 | |
| (£)39.2(0) | A1 | |
| Gordon wrong because (£)39 is not enough | E1 |