Foundation November 2022 Paper 1 Q22
22 A theatre has an adult price and a child price for their shows.
A group of 4 adults and 5 children paid a total of £136.
A group of 3 adults and 2 children paid a total of £81.
Work out the price for one adult and the price for one child.
You must show your working.
Price for one adult £ ....................
Price for one child £ .................... [5]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| [a =] 19 [c =] 12 with correct working | 5 | B4 for one correct answer with correct working OR M1 for \(4a + 5c = 136\) oe M1 for \(3a + 2c = 81\) oe M1 for method to find a common coefficient, allow one 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 correct answers with no or insufficient working or SC1 for two answers which satisfy one of the original conditions | “Correct working” requires evidence of at least M1M1M1 Correct answer from trial and improvement scores 5 Accept other variables for \(a\) and \(c\) 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 Do not allow 16.2[0] 16.2[0] for SC1 |