Higher June 2019 Paper 2 Q8
8. 7 cartons of apple juice and 2 cartons of grapefruit juice cost £6.15 altogether.
5 cartons of apple juice and 8 cartons of grapefruit juice cost £9.19 altogether.
Use an algebraic method to calculate the total cost of 2 cartons of apple juice and 5 cartons of grapefruit juice. [5]
| Scheme | Marks | Comments |
|---|---|---|
| \(7a + 2g = 6(.)15\) AND \(5a + 8g = 9(.)19\) | B1 | Both equations are required for the award of B1 |
| Method to eliminate variable, e.g. equal coefficients and method to find second variable | M1 | FT provided at least one equation is correct and the other is of equivalent difficulty. Allow 1 error in one term, not one with equal coefficients |
| First variable | A1 | \(a = 67\)(p) or \(a =\) (£ 0).67 or \(g = 73\)(p) or \(g =\) (£ 0).73 |
| Second variable | A1 | FT their first variable provided M1 previously awarded |
| (£)4.99 | B1 | CAO, not FT |
| (5) |