Foundation June 2023 Paper 1 Q19
19 Andrew and Bruce share some money in the ratio \(\quad\) 5 : 6
Bruce gets £96
Andrew gives \(\dfrac{1}{4}\) of his share to Carl.
Bruce gives \(\dfrac{2}{3}\) of his share to Carl.
How much money does Carl receive? [4 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(\dfrac{5}{6} \times 96\) or 80 | M1 | oe eg \(96 \div 6 \times 5\) implied by 176 |
| \(\dfrac{1}{4} \times\) their 80 or 20 | M1dep | oe eg \(80 \div 4\) |
| \(\dfrac{2}{3} \times 96\) or 64 | M1 | oe eg \(96 \div 3 \times 2\) accept 0.66 or better for \(\dfrac{2}{3}\) |
| 84(.00) | A1 | SC2 100.8(0) or [77.32, 77.34] condone incorrect money notation eg 84.0 or 84.00p |
Additional guidance
SC2 for 100.8(0) is from misreading as Andrew gets £96
SC2 for [77.32, 77.34] is from \(\dfrac{2}{3}\) of 80 plus \(\dfrac{1}{4}\) of 96
Do not accept ‘\(\dfrac{5}{6}\) of 96’ or ‘\(\dfrac{1}{4}\) of 80’ or ‘\(\dfrac{2}{3}\) of 96’ for M marks unless accompanied by a correct method or value