Higher January 2021 Paper 1 Q1
1 Pieter owns a currency conversion shop.
Last Monday, Pieter changed a total of 20 160 rand into a number of different currencies.
He changed \(\dfrac{3}{10}\) of the 20 160 rand into euros.
He changed the rest of the rands into dollars, rupees and francs in the ratios \(9 : 5 : 2\)
Pieter changed more rands into dollars than he changed into francs.
Work out how many more.
(4)
| Scheme | Marks |
|---|---|
| e.g. 0.7 × 20 160 oe (= 14 112) or 0.3 × 20 160 oe (= 6048) | M1 |
| e.g. “14 112” ÷ (9 + 5 + 2) (= 882) or (20 160 − “6048”) ÷ (9 + 5 + 2) (= 882) | M1 |
| e.g. 9 × “882” – 2 × “882” | M1 |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: 6174 | A1 |
| (4) | |
| (4 marks) |
Notes
M1: M2 for \(\dfrac{9 - 2}{9 + 5 + 2} \times\) “14 112” oe