Higher November 2024 Paper 6 Q3
3 A bag contains only blue, green and red counters in the ratio 7 : 3 : 2.
There are 76 more blue counters than green counters in the bag.
Work out the total number of counters in the bag. [4]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 228 | 4 | B3 for 133, 57 and 38 or M3 for \(\frac{76}{7 - 3} \times\) their(7 + 3 + 2) oe or M2 for \(\frac{76}{7 - 3} \times n\) oe where \(n\) = 2, 3 or 7 or M1 for \(\frac{76}{7 - 3}\) implied by 19 or correct trial with blue > 76 and difference between blue and green shown | |
Trials
| B | G | R | Dif | Tot |
|---|---|---|---|---|
| 77 | 33 | 22 | 44 | 132 |
| 84 | 36 | 24 | 48 | 144 |
| 91 | 39 | 26 | 52 | 156 |
| 98 | 42 | 28 | 56 | 168 |
| 105 | 45 | 30 | 60 | 180 |
| 112 | 48 | 32 | 64 | 192 |
| 119 | 51 | 34 | 68 | 204 |
| 126 | 54 | 36 | 72 | 216 |
| 133 | 57 | 38 | 76 | 228 |