Foundation June 2024 Paper 3 Q16
16 Tins of beans are sold in shop A and shop B.
| Shop A 1 tin 64p Buy 4 tins for the price of 3 tins | Shop B 1 tin 62p Pack of 3 tins £1.70 10% reduction in price on all packs |
At which shop is it cheaper to buy 20 tins?
State how much cheaper. [5 marks]
Shop \(\ldots\ldots\ldots\) Cheaper by \(\ldots\ldots\ldots\)
| Answer | Mark | Comments |
|---|---|---|
| \(15 \times 0.64\) or 9.6 | M1 | oe eg1 \(20 \times 0.64 \times \dfrac{3}{4}\) eg2 \(20 \times 0.64 - (20 \div 4) \times 0.64\) |
| \(1.7 \times 0.9\) or 1.53 or \(1.7 \times 6\) or 10.2 | M1 | oe eg \(1.7 - 0.1 \times 1.7\) |
| \(1.7 \times 0.9 \times 6\) or 9.18 | M1dep | oe eg \(10.2 - 0.1 \times 10.2\) dep on 2nd M1 |
| their \(9.18 + 2 \times 0.62\) or 10.42 | M1 | oe their 9.18 must be 6 times their pack price |
| Shop A Cheaper by £0.82 | A1 | oe eg Shop A Cheaper by 82p |
Additional guidance
| Accept working in pounds or pence | |
| Mixed units in the 4th M1 mark must be recovered with a correct value for their calculation 960 and \(9.18 + 2 \times 62\) 960 and \(9.18 + 2 \times 62\) and 10.42 | M1M1M1M0 M1M1M1M1 |
| \(10.20 + 2 \times 0.62\) or 11.44 score the 2nd and 4th M1 mark |