Higher November 2023 Paper 6 Q9
9 A large box of chocolates contains dark, milk and white chocolates.
When Riley opens the box, the ratio of dark to milk to white chocolates is 3 : 2 : 4.
Riley’s family eat 6 of the dark chocolates, none of the milk chocolates and all of the white chocolates.
The ratio of dark to milk chocolates is now 9 : 8.
How many white chocolates did Riley’s family eat? [4]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 32 nfww | 4 | B3 for 24 : 16 and 18 : 16 both identified | May be expressed as dark = 24, milk = 16, etc. |
| or M2 for trials leading to 24 : 16 or 18 : 16 or for two correct ratios identified with a common number of milk chocolates eg. 12 : 8 and 9 : 8 | Alternative method using algebra M2 for \(\frac{3k - 6}{2k} = \frac{9}{8}\) oe or M1 for \(3k - 6\) and \(2k\) A1dep for \(k = 8\), dep on M2 | ||
| or M1 for at least two correct trials of \(3p : 2p\) where \(p > 1\) or for two correct ratios identified with a difference of six dark chocolates eg 15 : 10 and 9 : 8 | Alternative method using algebra M2 for \(\frac{9m + 6}{8m} = \frac{3}{2}\) oe or M1 for \(9m + 6\) and \(8m\) A1dep for \(m = 2\), dep on M2 | ||