Foundation November 2023 Paper 1 Q24
24 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 OR M1 for \(2c + 5p = 6.36\) oe M1 for \(3c + 2p = 5.25\) oe M1 for correct method to equate coefficients of one variable allowing one arithmetic error M1 for correct method to eliminate one variable allowing one 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 | “Correct working” requires evidence of at least M1 M1 M1 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 e.g. \(6c + 15p = 19.08\) and \(6c + 4p = 10.50\) or \(4c + 10p = 12.72\) and \(15c + 10p = 26.25\) e.g. \(11p = 8.58\) or \(11c = 13.53\) Note: A sign error is not an arithmetic error if substitution method used M1 for correctly rearranging equation M1 for correct substitution into other equation Correct answers from trial and improvement scores 5 |