Foundation November 2020 Paper 2 Q9
9. Fabric is sold from rolls.
All the rolls contain fabric of the same width.
Any length can be cut from a roll of fabric.
Tien buys:
- a 1·8 m length of flowered fabric,
- a 3·2 m length of plain fabric.
Flowered fabric costs £12.50 for one metre.
Tien spends £58.50 altogether.
Show that plain fabric costs £11.25 for one metre. [3]
| Scheme | Marks | Comments |
|---|---|---|
| 58.5 – 1.8 × 12.5(0) (= 36) | M2 | M1 for 1.8 × 12.5(0) (= 22.50) |
| 36 ÷ 3.2 = (£)11.25 or 36 ÷ 11.25 = 3.2(m) or 3.2 × 11.25 = (£)36 | A1 | Convincing correct final step Dependent on M2 |
| (3) |
Alternative
Alternative method 1
| Scheme | Marks | Comments |
|---|---|---|
| 1.8 × 12.5(0) + 3.2 × 11.25 | M2 | M1 for either 1.8 × 12.5(0) (=22.50) or for 3.2 × 11.25 (= 36) |
| 36 + 22.5(0) = (£)58.5(0) | A1 | Convincing correct final step |
Alternative method 2
| Scheme | Marks | Comments |
|---|---|---|
| \(1.8 \times 12.5 + 3.2y = 58.50\) | M1 | Allow other notation |
| \(3.2y = 58.50 - 22.5\) or \(3.2y = 36\) | M1 | |
| (\(y\)) 36 ÷ 3.2 = (£) 11.25 | A1 |