Foundation June 2017 Paper 1 Q15
15 In a school show,
girls : boys = 1 : 1
girls who sing : girls who do not sing = 1 : 2
8 girls sing in the show.
How many students are in the show altogether? [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| Alternative method 1 | ||
| \(8 \times 2\) or 16 | M1 | implied by 8 : 16 |
| their 16 \(+\) 8 or 24 | M1dep | \(8 \times 3\) |
| 48 | A1 | |
| Alternative method 2 | ||
| \((1 + 2 = 3)\) \(3 + 3\) or 6 | M1 | |
| their \(6 \times 8\) | M1dep | their 6 must be from \(\;3 + 3\) |
| 48 | A1 | |
Additional guidance
| Beware 24 coming from incorrect working eg Misread of 8 girls who do not sing in the show, leading to answer of 24 | M1M1A0 |