1MA0 Higher June 2015 Paper 2 Q5
*5 Redlands School sent \(x\) students to a revision day.
St Samuel’s School sent twice as many students as Redlands School.
Francis Long School sent 7 fewer students than Redlands School.
Each student paid £15 for the revision day.
The students paid a total of £1155
Work out how many students were sent by each school to the revision day.
You must show all your working. (5)
| Working | Answer | Mark | Notes |
|---|---|---|---|
| \(1155 \div 15 = 77\) \(x + 2x + x - 7 = 77\) \(4x - 7 = 77\) \(4x = 84\); \(x = 21\) OR \(15x + (15 \times 2x) + 15(x - 7) = 1155\) \(60x - 105 = 1155\) \(60x = 1260\) \(x = 21\) | Redlands 21 St Samuels 42 Francis Long 14 | 5 | M1 for \(2x\) or \(x - 7\) M1 for \(1155 \div 15\) (= 77) M1 (dep M2) for equation summing their three expressions to “77” A1 for 21, 42 and 14 C1 for fully correct answer with correct labels OR M1 for an expression for the cost of the pupils from Redlands M1 for expression for the cost of the pupils from either St Samuels or Francis Long M1 (dep M2) for equation summing their three expressions to 1155 A1 for 21, 42, and 14 C1 for fully correct answer with correct labels |