Higher June 2017 Paper 2 Q13
13 To make one cheese sandwich, Gina uses one bread roll and two cheese slices.
| Pack of 15 bread rolls £1.88 | Pack of 20 cheese slices £2.15 |
She is going to buy enough packs to
- have exactly twice as many cheese slices as bread rolls
- make more than 100 cheese sandwiches.
Work out the least amount she can spend. [4 marks]
| Answer | Mark | Comments |
|---|---|---|
| Alternative method 1 | ||
| Valid number of bread rolls and cheese slices | M1 | eg 30 bread and 60 cheese or 60 bread and 120 cheese or 90 bread and 180 cheese or 120 bread and 240 cheese Valid number means ratio 1 : 2 and can be bought in exact numbers of packs May be implied by valid number of packs |
| Valid number of packs of bread rolls and cheese slices | M1dep | eg 2 packs bread and 3 packs cheese or 4 packs bread and 6 packs cheese or 6 packs bread and 9 packs cheese or 8 packs bread and 12 packs cheese Valid number of packs means ratio 2 : 3 |
| their number of packs of bread \(\times\) 1.88 and their number of packs of cheese \(\times\) 2.15 | M1dep | eg 15.04 and 25.8(0) |
| 40.84 | A1 | SC2 27.94 or 42.98 |
| Alternative method 2 | ||
| Valid number of sandwiches | M1 | eg Common multiple of 15 and 20 identified eg 15 30 45 60 75 and 20 40 60 Valid number means can be bought in exact numbers of packs |
| \(1.88 \div 15 + 2.15 \div 10\) or \(0.125(\ldots) + 0.215\) or 0.34(0…) | M1 | oe Cost of one sandwich |
| their 0.34(0…) \(\times\) their number of sandwiches | M1dep | dep on M2 |
| 40.84 | A1 | SC2 27.94 or 42.98 |
Additional guidance
| Alt 1 3rd M1 Allow working in pence | |
| Alt 2 2nd M1 Allow working in pence | |
| 30 bread and 60 cheese/2 packs bread and 3 packs cheese \(2 \times 1.88\) or 3.76 and \(3 \times 2.15\) or 6.45 (Answer £10.21) | M3 A0 |
| 60 bread and 120 cheese/4 packs bread and 6 packs cheese \(4 \times 1.88\) or 7.52 and \(6 \times 2.15\) or 12.9(0) (Answer £20.42) | M3 A0 |
| 90 bread and 180 cheese/6 packs bread and 9 packs cheese \(6 \times 1.88\) or 11.28 and \(9 \times 2.15\) or 19.35 (Answer £30.63) | M3 A0 |
| 150 bread and 300 cheese/10 packs bread and 15 packs cheese \(10 \times 1.88\) or 18.8(0) and \(15 \times 2.15\) or 32.25 (Answer £51.05) | M3 A0 |
| SC2 from 120 bread and 120 cheese or 240 bread and 120 cheese |