Higher November 2023 Paper 4 Q6
6 2 kg of carrots and 5 kg of potatoes cost £6.36.
3 kg of carrots and 2 kg of potatoes cost £5.25.
Find the cost of 1 kg of carrots and the cost of 1 kg of potatoes.
You must show your working. [5]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| [carrots =] 1.23 [potatoes =] 0.78 with correct working | 5 | B4 for one correct answer with correct working | “Correct working” requires evidence of at least M1 M1 M1 |
| OR M1 for \(2c + 5p = 6.36\) oe M1 for \(3c + 2p = 5.25\) oe | Allow any letter for c and p, but not carrots or potatoes, and working in pence, answers in pence must have ‘p’ after, condone £ or pence in equations | ||
| M1 for correct method to equate coefficients of one variable allowing one arithmetic error | e.g. \(6c + 15p = 19.08\) and \(6c + 4p = 10.50\) or \(4c + 10p = 12.72\) and \(15c + 10p = 26.25\) | ||
| M1 for correct method to eliminate one variable allowing one arithmetic error | e.g. \(11p = 8.58\) or \(11c = 13.53\) Note: A sign error is not an arithmetic error | ||
| If 0 or M1 scored award SC2 for answers 1.23 and 0.78 with no working or insufficient working or if 0 scored SC1 for two answers which satisfy one of the original conditions | if substitution method used M1 for correctly rearranging equation M1 for correct substitution into other equation Correct answers from trial and improvement scores 5 | ||