Foundation November 2023 Paper 2 Q14
14 A golf club is organising a trip for 42 people.
The costs are shown in the table.
| Minibus hire | £450 per minibus |
| Fuel | £26 per minibus |
| 1 game of golf | £18.50 per person |
Each minibus can hold 15 people.
Each person will play 2 games of golf.
The cost of the trip will be shared equally by the 42 people.
Work out the cost per person. [5 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(18.5(0) \times 2\) or 37 | M1 | implied by \(18.5(0) \times 84\) or 1554 |
| \(42 \div 15\) or \(\dfrac{14}{5}\) or 2.8 or 3 | M1 | minibuses needed implied by \(3 \times 450\) or 1350 or \(3 \times 26\) or 78 |
| \(450 \times\) their \(3 + 26 \times\) their 3 or \(1350 + 78\) or \(476 \times 3\) or 1428 | M1dep | oe dep on 2nd mark allow their 3 to be a decimal eg 2.8 1332.8 scores 2nd & 3rd marks 2982 or 2886.8 scores M3 |
| their \(1428 \div 42 +\) their 37 or (their \(1428 + 42 \times\) their \(37) \div 42\) or \(2982 \div 42\) | M1dep | oe eg \((450 \times\) their \(3 + 26 \times\) their \(3 + 42 \times\) their \(37) \div 42\) dep on M3 |
| 71(.00) | A1 | SC4 52.50 SC3 52.5 |
Additional guidance
| Up to M4 may be awarded for correct work with no answer or incorrect answer, even if this is seen amongst multiple attempts | |
| Using 2.8 throughout gives an answer of 68.73(…) | M4A0 |
| Only 1 game of golf gives an answer of 52.50 | SC4 |
| \(1350 + 78\) may be seen embedded with an incorrect number of games of golf eg \((1350 + 78 + 37) \div 42\) | M1M1M1M0 |