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300 passengers boarded a train in London. From the chart, find out how many people were travelling to each destination

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300 passengers boarded a train in London.
From the chart, find out how many people were travelling to each destination.

Parkstone 36°
Branksome 54°
Southampton 120°
Poole 60°
Bournemouth 90°

150 packets of crisps were sold from a vending machine.
Find the number of packets of each flavour that were sold.

Prawn Cocktail 36°
Plain 144°
Salt & Vinegar 72°
Cheese & Onion 108°

120 year 7s and 144 year 8s were asked for their favourite member of One Direction.
a) How many in each year said their favourite member was Zayn?
b) Is it correct to say that more people in Year 8 prefer Harry? Show working to support your answer.

Year 7's Favourite One Direction Member
Niall 20°
Zayn 96°
Harry 81°
Liam 10°
Louis 3°

Year 8's Favourite One Direction Member
Niall 95°
Zayn 70°
Harry 75°
Liam 73°
Louis 7°
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Tham khảo câu trả lời từ Trợ lý ảo Lazi
To find out how many people were traveling to each destination from London, we can use the percentages derived from the pie chart segments.

1. **Total Passengers**: 300

2. **Destinations and their proportions** (based on the chart):
- Parkstone: 60°
- Branksome: 54°
- Southampton: 120°
- Poole: 60°
- Bournemouth: 90°

3. **Total degrees in a circle**: 360°

Now, we can calculate how many passengers went to each destination based on their angle.

- **Parkstone**:
\[
\text{Parkstone} = \left( \frac{60}{360} \right) \times 300 = 50
\]

- **Branksome**:
\[
\text{Branksome} = \left( \frac{54}{360} \right) \times 300 \approx 45
\]

- **Southampton**:
\[
\text{Southampton} = \left( \frac{120}{360} \right) \times 300 = 100
\]

- **Poole**:
\[
\text{Poole} = \left( \frac{60}{360} \right) \times 300 = 50
\]

- **Bournemouth**:
\[
\text{Bournemouth} = \left( \frac{90}{360} \right) \times 300 = 75
\]

### Summary of Passengers to Each Destination:
- Parkstone: 50
- Branksome: 45
- Southampton: 100
- Poole: 50
- Bournemouth: 75

These values add up to 300 passengers, consistent with the total given.

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