Foundation November 2021 Paper 1 Q22
22 Kai buys 5 drinks and 3 cakes for £16.35.
Azmi buys 2 drinks and 6 cakes for £14.70.
Assume that each drink costs the same and that each cake costs the same.
Calculate the cost of one drink and the cost of one cake.
You must show your working. [5]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| [\(d =\)] 2.25 [\(c =\)] 1.7[0] with correct working | 5 | B4 for 1 correct answer with correct working OR M1 for \(5d + 3c = 16.35\) oe M1 for \(2d + 6c = 14.7[0]\) oe M1 for method to find a common coefficient, allow 1 arithmetic error M1 for correct method to eliminate 1 variable, allow one arithmetic error OR If 0 or M1 scored instead award SC2 for both answers correct with no or insufficient working or SC1 for two answers which satisfy one of the original equations | Accept other variables for \(d\) and \(c\) “Correct working” requires evidence of at least M1M1M1 Correct answers from trial and improvement score 5 If substitution method used M1 for correct rearrangement of equation M1 for correctly substituting into other equation A sign error is not an arithmetic error |