Foundation January 2023 Paper 2 Q12
12 Last season, Alisha and Jaya scored goals for their team in the ratio 4 : 7
Jaya scored 39 more goals than Alisha.
Work out the number of goals Alisha scored.
(3)
| Scheme | Marks |
|---|---|
\(\dfrac{39}{n}\) where \(n = 3\), 4 or 7 or “(7 – 4)” or for 13 or 9.75 or 5.57… or 4 : 7 8 : 14 12 : 21 16 : 28 20 : 35 etc to 32 : 56 or more (don’t have to include all trials: ratios must be correct) | M1 |
| \(\dfrac{39}{7 - 4} \times 4\) oe eg \(\dfrac{4}{3} \times 39\) or for 52 : 91 | M1 |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: 52 | A1 |
| (3) | |
| (3 marks) |
Notes
M1: or allow for this mark eg
\(\dfrac{39 \times 4}{7}\left(= \dfrac{156}{7} = 22.8\right)\) or \(\dfrac{39 \times 7}{4}\left(= \dfrac{273}{4} = 68.25\right)\)
M1: working with figures obtained from a correct method
A1: (52 : 91 or 91 is M2 unless Alisha = 52 clearly shown in working)