Higher June 2022 Paper 2 Q12
12 Larry is a delivery man.
He has 7 parcels to deliver.
The mean weight of the 7 parcels is 2.7 kg
Larry delivers 3 of the parcels.
Each of these 3 parcels has a weight of \(W\) kg
The mean weight of the other 4 parcels is 3.3 kg
Work out the value of \(W\)
(3)
| Scheme | Marks |
|---|---|
7 × 2.7 (=18.9) or 4 × 3.3 (= 13.2) or \(\dfrac{3W + 4 \times 3.3}{7} = 2.7\) oe eg \(3W + 13.2 = 18.9\) | M1 |
| \(\dfrac{7 \times 2.7 - 4 \times 3.3}{3}\) or \(\dfrac{\text{``}{18.9}\text{''} - \text{``}{13.2}\text{''}}{3}\) or \(\dfrac{5.7}{3}\) or \(3W = 5.7\) | M1 |
| If you see 1.9 from correct working and they do further work to this value, award M2 Answer: 1.9 | A1 |
| (3) | |
| (3 marks) |
Notes
M1: For one correct product or for a correct equation for \(W\)