Higher January 2023 Paper 1R Q5
5 \(C\) grams of chocolate is shared in the ratios 2 : 5 : 8
The difference between the largest share and the smallest share is 390 grams.
Work out the value of \(C\)
(3)
| Scheme | Marks |
|---|---|
| 390 ÷ (8 − 2) (= 65) or \(\dfrac{8}{15} - \dfrac{2}{15} = 390\) or \(\dfrac{8}{15}x - \dfrac{2}{15}x = 390\) or \(\dfrac{6}{15} = 390\) or \(\dfrac{6}{15}x = 390\) oe | M1 |
| \(\text{``}{65}\text{''} \times (2 + 5 + 8)\) oe or \(\dfrac{1}{15} = 65\) or \(\dfrac{1}{15}x = 65\) or \(\dfrac{1}{5} = 195\) or \(\dfrac{1}{5}x = 195\) | M1 |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: 975 | A1 |
| (3) | |
| (3 marks) |
Notes
M1: or for 975 seen with further work and a different answer
A1: SCB1 for 52, 130, 208 or 390, 975, 1560 (or 2925) or 97.5, 243.75, 390 (or 731.25)
M2 for \(390 \times \dfrac{15}{6}\) oe