Foundation June 2021 Paper 2 Q20
20 Mariana sells bags of bird food.
The bags that Mariana sold last week each contained 12 kg of seeds.
The bags that she is going to sell next week will each contain a mixture of nuts and seeds where for each bag
weight of nuts : weight of seeds = 4 : 5
The total weight of the nuts and the seeds in each bag will be 19.35 kg
The weight of seeds in each bag that Mariana sells next week will be less than the weight of seeds in each bag that Mariana sold last week.
Work out this decrease as a percentage of the weight of seeds in each bag that Mariana sold last week.
Give your answer correct to one decimal place.
(4)
| Scheme | Marks |
|---|---|
| 19.35 ÷ (4 + 5) (= 2.15) | M1 |
| “2.15” × 5 (= 10.75) | M1 |
\(\dfrac{12 - \text{“}10.75\text{”}}{12} \times 100\) oe or \(100 - \dfrac{\text{“}10.75\text{”}}{12} \times 100\) oe | M1 |
| Working not required, so correct answer scores full marks (unless from obvious incorrect working) Answer: 10.4 | A1 |
| (4) | |
| (4 marks) |
Notes
M1: M2 for \(\dfrac{5}{9} \times 19.35\) (= 10.75)
A1: accept 10.4 – 10.42
SCB1 for \(\dfrac{5}{9} \times 12\) (= 6.66...) oe