Foundation November 2024 Paper 3 Q9
9 There are 200 people at a party.
\(\dfrac{2}{5}\) of the people are children.
The rest of the people are adults.
35% of the children are vegetarian.
45% of the adults are vegetarian.
How many of the people are not vegetarian? (5)
| Answer | Mark | Mark scheme |
|---|---|---|
| 118 | P1 | for a correct first step, eg \(200 \times 2 \div 5\ (= 80)\) or \(200 \times 3 \div 5\ (= 120)\) or \(1 - \dfrac{2}{5}\left(= \dfrac{3}{5}\right)\) oe eg \(100 - 40\ (= 60(\%))\) |
| P1 | for a process to find the number of child vegetarians or number of child non-vegetarians, eg \(\text{``}80\text{''} \times 0.35\ (= 28)\) or \(\text{``}80\text{''} \times (1 - 0.35)\ (= 52)\) | |
| P1 | for a process to find the number of adult vegetarians or number of adult non-vegetarians, eg \((200 - \text{``}80\text{''}) \times 0.45\ (= 54)\) or \((200 - \text{``}80\text{''}) \times (1 - 0.45)\ (= 66)\) | |
| P1 | for a complete process to find the total number of non-vegetarians, eg \(200 - \text{``}28\text{''} - \text{``}54\text{''}\) or \((\text{``}80\text{''} - \text{``}28\text{''}) + (200 - \text{``}80\text{''} - \text{``}54\text{''})\) oe eg \(\text{``}52\text{''} + (\text{``}120\text{''} - \text{``}54\text{''})\) or \(\text{``}80\text{''} \times (1 - 0.35) + (200 - \text{``}80\text{''}) \times (1 - 0.45)\) | |
| A1 | cao |
Additional guidance
Answer of \(\dfrac{118}{200}\) is P4A0