Foundation June 2017 Paper 1 Q15
15 Mr and Mrs Thomas buy tickets for themselves and their four children.
The cost of an adult ticket is £7 more than the cost of a child ticket.
The total cost of the six tickets is £86.
Work out the cost of an adult ticket. [5]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 19 | 5 | B4 for 12 nfww OR M1 for \(x + 7\) or \(x - 7\) M1 for \(x + 7 + x + 7 + x + x + x + x = 86\) M1 for \(6x + 14 = 86\) ft B1 for 12 ft OR M1 for \(86 - 7 - 7\) A1 for 72 M1 for their \(72 \div 6\) A1 for 12 OR M1 for \(a = c + 7\) oe M1 for \(2a + 4c = 86\) oe M1 for correct method to eliminate one variable allow one arithmetic error A1 for 12 | Allow use of other letters accept equivalent methods e.g M1 for \(y + 7\) or \(y - 7\) M1 for \(y + y + y - 7 + y - 7 + y - 7 + y - 7 = 86\) M1 for \(6y - 28 = [86]\) M1 for \(6y = 114\) |