Higher June 2017 Paper 1 Q8
8. A shop sells Brand X trainers in three colours only.
The proportion of gold trainers sold is 0·04.
The proportion of black trainers sold is 5 times the proportion of lime trainers.
Find the proportion of black trainers sold. [3]
| Colour | Gold | Lime | Black |
|---|---|---|---|
| Proportion | 0·04 |
| Scheme | Marks | Comments |
|---|---|---|
| \((1 - 0.04) \div 6\) seen or implied or 0.04 + prop lime + 5 prop lime = 1 or 0.96 seen | M1 | Accept in any form e.g. \(6x = 0.96\) or \(0.04 + x + 5x = 1\) |
| \([(1 - 0.04) \div 6] \times 5\) or 0.16 (\(\times\) 5) | M1 | 0.16 implies M1 M1 May be in steps |
| (prop black = ) 0.8(0) or equivalent | A1 | CAO |
| (3) |