1MA0 Higher November 2014 Paper 2 Q15
15 A cinema sells adult tickets and child tickets.
The total cost of 3 adult tickets and 1 child ticket is £30
The total cost of 1 adult ticket and 3 child tickets is £22
Work out the cost of an adult ticket and the cost of a child ticket. (4)
| Working | Answer | Mark | Notes |
|---|---|---|---|
| \(3x + y = 30\) \(x + 3y = 22\) | 8.50 4.50 | 4 | M1 for forming two algebraic equations M1 for a correct process to eliminate one variable (condone one arithmetic error) M1 (dep) for substituting found value in one of the equations or appropriate method after starting again (condone one arithmetic error) A1 for 8.5(0) and 4.5(0) |