Higher June 2017 Paper 5 Q7
7 The population of a village is in the following ratios.
- men : children = 11 : 3
- women : children = 5 : 2
(a) Find the ratio men : women.
Give your answer in its simplest form. [2]
Give your answer in its simplest form. [2]
(b) There are 36 children in the village.
Find the total population of the village. [3]
Find the total population of the village. [3]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 22 : 15 | 2 | M1 for any equivalent ratio or for two correct ratios with a common number of children seen implied by \(22k\) and \(15k\) seen (\(k \gt 1\) and an integer) Or for \(\frac{11}{3} : \frac{5}{2}\) or for 11 : 7.5 | \(15k : 22k\) implies M1 Accept 3.66 to 3.67 : 2.5 |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 258 | 3 | M2 for \(\frac{36}{2} \times 5 + \frac{36}{3} \times 11\) [+36] oe or \(((2 \times 11) + (3 \times 5)) \times 36 \div 6\) [+36] oe or \(\frac{6}{6 + 15 + 22} \times x = 36\) oe | M2 implied by 222 [ +36] not spoiled 90 + 132 [+ 36] |
| or M1 for \(\frac{36}{2} \times 5\) or \(\frac{36}{2} \times 7\) soi or \(\frac{36}{3} \times 11\) or \(\frac{36}{3} \times 14\) soi oe | Implied by 90 or 126 or 132 or 168 seen | ||