Higher June 2017 Paper 3 Q4
4 Daniel bakes 420 cakes.
He bakes only vanilla cakes, banana cakes, lemon cakes and chocolate cakes.
\(\dfrac{2}{7}\) of the cakes are vanilla cakes.
35% of the cakes are banana cakes.
The ratio of the number of lemon cakes to the number of chocolate cakes is 4 : 5
Work out the number of lemon cakes Daniel bakes. (5)
| Answer | Mark | Notes |
|---|---|---|
| 68 | P1 | for a process to find the number of vanilla cakes, eg \(420 \times 2 \div 7\) oe \((= 120)\) |
| P1 | for a process to find the number of banana cakes, eg \(420 \times 0.35\) oe \((= 147)\) | |
| P1 | (dep P1) for a full process to find the number of lemon/chocolate cakes eg \(420 -\) (vanilla cakes) \(-\) (banana cakes) \((= 153)\) | |
| P1 | (dep on previous P1) for a process to find the number of lemon cakes eg \(\text{``}153\text{''} \div 9 \times 4\) oe \((= 68)\) | |
| A1 | cao | |
| OR | ||
| P1 | for writing two proportions in the same format | |
| P1 | for combining the proportions of vanilla and banana cakes eg \(2/7 + 7/20\ (= 89/140)\) | |
| P1 | (dep P1) for a full process to find the proportion or number of lemon/chocolate cakes eg \(1 - \text{``}89/140\text{''}\ (= 51/140)\) | |
| P1 | (dep on previous P1) for a process to find the number of lemon cakes eg \(\text{``}51/140\text{''} \times 420 \div 9 \times 4\ (= 68)\) | |
| A1 | cao |