Foundation June 2022 Paper 2R Q15
15 Kim spends \(\$N\)
Of this, she spends
40% on food
\(\dfrac{1}{4}\) on clothes
and the rest on petrol
Kim spends \(\$P\) on petrol.
Work out the ratio \(P : N\) in the form \(a : b\) where \(a\) and \(b\) are integers.
Give your answer in its simplest form.
(4)
| Scheme | Marks |
|---|---|
| e.g. \(\dfrac{4}{10}\) or 0.4 or 25% or 0.25 | M1 |
| e.g. 1 − “\(\dfrac{4}{10}\)” − \(\dfrac{1}{4}\) (\(= \dfrac{7}{20}\)) or 1 – “0.4” – “0.25” (= 0.35) or 100 – 40 – “25” (= 35) | M1 |
| e.g. “their \(\dfrac{7}{20}\)” : 1 or “their 0.35” : 1 or “their 35” : 100 | M1 |
| 7 : 20 | A1 |
| (4) | |
| (4 marks) |
Notes
M1: for a correct conversion
M1: for a complete method to find proportion of money spent on petrol
M1: for an equivalent ratio
A1: cao
SC M3 for 20 : 7