1MA0 Foundation June 2017 Paper 2 Q19
*19
| Best vans | Vans for hire |
|---|---|
| \(\frac{1}{3}\) off normal price of £87 for each day No charge for the miles | £44 for each day plus 15p for each extra mile over 250 miles |
Scott wants to hire a van for 2 days.
He is going to drive 400 miles in the van.
Scott wants to pay the least possible money to hire the van.
Should Scott hire the van from Best vans or from Vans for hire?
You must show all your working. (5)
| Answer | Mark | Notes |
|---|---|---|
| Vans for hire and correct calculations | 5 | M1 for method to find \(\frac{1}{3}\) of 87 (= 29) or \(\frac{2}{3}\) of 87 (= 58) oe M1 for complete method to find cost for Best vans, eg \((87 - \text{``}29\text{''}) \times 2\) (= 116) M1 for method to find the cost of the extra miles, eg \((400 - 250) \times 0.15\) (= 22.50) or \((400 - 250) \times 15\) (= 2250) M1 for complete method to find cost for Vans for hire, eg \(44 \times 2 + \text{``}22.50\text{''}\) (= 110.5(0)) with consistent units C1 for Vans for hire and 116 and 110.5(0) |