Higher November 2019 Paper 5 Q7
7 Sundip and Emma have some money.
The ratio of Sundip’s money to Emma’s money is 3 : 5.
Emma spends £450 of her money.
The ratio of Sundip’s money to Emma’s money is now 2 : 3.
Find how much money Sundip has. [4]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 2700 | 4 | B3 for Emma’s amount = 4500 or 4050 or old total = 7200 or new total = 6750 or M2 for \(6k : 10k\) and \(6k : 9k\) seen where \(k\) is a positive integer or for \(\frac{5}{3}\) [–] \(\frac{3}{2}\) oe seen or for correct unsimplified equation to find Emma or Sundip or the total amount or M1 for \(6k : 10k\) or \(6k : 9k\) seen where \(k\) is a positive integer or for \(\frac{5}{3}\) or \(\frac{3}{2}\) or \(\frac{5}{8}\) or \(\frac{3}{8}\) or \(\frac{3}{5}\) or \(\frac{2}{3}\) oe seen or used | M2 implied by \(\frac{1}{6}\) eg \(\frac{3E}{5} = \frac{2}{3}(E - 450)\) where \(E\) is Emma’s original share For M1 accept decimal versions of fractions |