Foundation November 2019 Paper 1 Q9
9 Mr and Mrs Jones buy cinema tickets for themselves and their three children.
The cost of an adult ticket is £6 more than a child ticket.
The total cost of the five tickets is £45.
Work out the cost of an adult ticket. [5]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 12.6[0] | 5 | B4 for 6.6[0] nfww OR (working with \(x\) as cost of a child) M1 for \(x + 6\) M1 for \(x + 6 + x + 6 + x + x + x = 45\) M1 for \(5x + 12 = 45\) OR (working with \(y\) as cost of adult) M1 for \(y - 6\) M1 for \(y + y + y - 6 + y - 6 + y - 6 = 45\) M1 for \(5y - 18 = 45\) M1 for \(5y = 63\) OR M1 for \(a = c + 6\) or \(a = x + 6\) or \(c = a - 6\) M1 for \(2a + 3c = 45\) oe M1 for correct method to eliminate one variable. Allow one arithmetic error OR M2 for 45 - 12 may be implied by 33 M1 for 33 ÷ 5 | |