4400 Higher June 2009 Paper 4 Q2
2 Angelou has \(x\) sweets.
He eats 5 of these sweets.
He puts all the sweets he has left into a bag.
(i) Nina has 3 times as many sweets as the number that Angelou put into the bag.
Nina has 39 sweets.
Use this information to write down an equation in \(x\).
Nina has 39 sweets.
Use this information to write down an equation in \(x\).
(ii) Solve your equation to find the value of \(x\).
(5)
| Scheme | Marks |
|---|---|
| (i) \(3x - 15 = 39\) or \(3(x - 5) = 39\) or \(x - 5 = 39/3\) | B3 |
| (ii) \(3x = 54\) or \(x - 5 = 13\) | M1 |
| 18 | A1 |
| (5) | |
| (5 marks) |
Notes
B3: do not accept \(x - 5 = 13\)
B2 for \(3x - 5 = 39\) if \(x - 5\) seen otherwise B1
B1 for \(x - 5\) seen
B0 for \(x = 39/3 + 5\) oe
M1: ft from any linear equation \(ax + b = c\), \(a \gt 1\), \(b, c \ne 0\)
\(ax = c - b\) or \(x = c/a - b/a\)
A1: 18 with no working for answer in i) or ii) gets M1 A1