Foundation November 2021 Paper 3 Q23
23 A bag of sweets contains jellies, mints and toffees.
The ratio of jellies to mints is \(n : 2\).
The ratio of mints to toffees is \(5 : 3n\).
Work out the ratio of jellies to toffees.
Give your answer in its simplest form. [4]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(5 : 6\) nfww | 4 | B3 for \(5kn : 6kn\), \(k \gt 0\) or equivalent correct unsimplified ratio seen OR M1 for two ratios with a common number of mints implied by \(\ldots : 10k\) and \(10k : \ldots\) seen, \(k \gt 0\) with one correct ratio or \(2.5n : 5\) seen A1 for \(5kn : 10k : 6kn\) | Accept for all part marks \(n\) replaced by a consistent integer e.g. \(2.5n : 3n\) or \(5n : 6n\) or \(10 : 12\) etc May be seen as two separate ratios e.g. \(5n : 10\) and \(10 : 6n\) or \(10 : 20\) and \(20 : 12\) etc For M1 the examples just require the common 10 or the common 20 etc |