Higher November 2017 Paper 5 Q9
9 There is a total of 250 men, women and children on a train.
The ratio of men to women is 4 : 5.
The ratio of women to children is 10 : 7.
How many men are on the train? [4]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 80 | 4 | M3 for 250 ÷ (8\(k\) +10\(k\) + 7\(k\)) × 8\(k\) oe or M2 for 250 ÷ (8\(k\) +10\(k\) + 7\(k\)) oe or M1 for two ratios with a common number of women implied by 8\(k\) (men) and 7\(k\) (children) seen, \(k\) > 0 or for 8 : 10 [ :7] or [4: ] 5 : 3.5 seen | M3 implied by 80 , 100, 70 with 80 not selected e.g. 0.8 and 0.7, 4 and 3.5 |