Foundation June 2023 Paper 1R Q16
16 Roland, Seiso and Tim share the total cost of buying a plot of land.
Roland and Seiso share some of the cost in the ratio 2 : 5
Roland’s share of the cost is $1700
Tim’s share of the cost is $2150 more than Roland’s share.
Work out the total cost of buying the plot of land.
(4)
| Scheme | Marks |
|---|---|
| 1700 ÷ 2 (= 850) | M1 |
| “850” × 5 (= 4250) or “850” × (2 + 5) (= 5950) or 1700 + “4250” (= 5950) | M1 |
| eg 1700 + “4250” + (1700 + 2150) or “5950” + (1700 + 2150) or “5950” + 3850 | M1 |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: 9800 | A1 |
| (4) | |
| (4 marks) |
Notes
M1: for finding the value of one share
M1: for finding the cost of Seiso’s share
or
the total of Roland and Seiso’s share
M1: for a complete method
A1: SCB1 for
1700 ÷ 5 (= 340) or
1700 ÷ 7 (= 242(.85…) or 243) or
2150 ÷ 7 (= 307(.14…)) or
2150 ÷ 2 (= 1075) or
2150 ÷ 5 (= 430)
M2 for eg \(1700 \times \dfrac{7}{2}\) (= 5950) or \(1700 \times \dfrac{5}{2}\) (= 4250)
M2 for a complete method to find the cost of Seiso’s share or the total of Roland and Seiso’s share