4400 Higher November 2009 Paper 3 Q5
5 Cups cost \(x\) dollars each.
Mugs cost \((x + 2)\) dollars each.
(a) Write down an expression, in terms of \(x\), for the total cost of 12 cups and 6 mugs. (2)
(b) The total cost of 12 cups and 6 mugs is 57 dollars.
Work out the cost of 1 cup. (2)
Work out the cost of 1 cup. (2)
| Scheme | Marks |
|---|---|
| \(12x + 6(x + 2)\) oe Answer: \(18x + 12\) | B2 |
| (2) |
Notes
B2: B1 for \(12x\) or \(6(x + 2)\) penalise errors
| Scheme | Marks |
|---|---|
| “a” = 57 \(\quad 18x + 12 = 57\) or 45 ÷ 18 | M1ft |
| 2.5 | A1 |
| (2) | |
| (4 marks) |
Notes
M1ft: “a” = linear term \(bx + c\) (\(c, b \ne 0\))
A1: cao allow numerical methods