Foundation November 2024 Paper 1 Q17
17. Kristoff is a baker.
He is baking bread.
The flour that he needs is sold in bags of two different sizes:
- Large bags contain 2·5 kg.
- Small bags contain 1·5 kg.
Diagram not drawn to scale
30 of the large bags contain exactly the quantity of flour that Kristoff needs.
The local supplier only has the small bags in stock.
Kristoff buys exactly the quantity of flour he needs in small bags.
How much more will he pay than if he bought the same quantity in large bags?
You must show all your working. [5]
| Scheme | Marks | Comments |
|---|---|---|
| (Flour needed = 30 × 2·5 =) 75 (kg) OR (30 x 2500 =) 75000 (g) | B1 | Accept equivalent work in pence. |
| (Number of small bags = \(\frac{75}{1.5}\) =) 50 | B1 | FT ‘their 75’ |
| 50 × 0.8 - 30 × 1·1 (= 40 – 33) | M2 | Units must be consistent for M2. FT ‘their 50’ for M2 or M1 provided ‘their 50’ > 30 and B0 B1 previously awarded M1 for 50 × 0·8 (= 40) |
| (£)7 | A1 | CAO If M0 awarded, award a further SC1 for 30 × 1·1 (= 33). |
| (5) |