Foundation November 2017 Paper 2 Q20
20 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 \(\div\) \((8k + 10k + 7k) \times 8k\) oe or M2 for 250 \(\div\) \((8k + 10k + 7k)\) oe or M1 for two ratios with a common number of women implied by \(8k\) (men) and \(7k\) (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 |