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Let's break down the problem step by step to calculate the total profit the company makes from this trip.

### Step 1: Calculate the number of coaches needed.
- **Total passengers**: 400
- **Passengers per coach**: 50

\[
\text{Number of coaches} = \frac{400}{50} = 8
\]

### Step 2: Calculate the total income from the passengers.
- **Each passenger pays**: £23

\[
\text{Total income} = 400 \times 23 = £9200
\]

### Step 3: Calculate the total cost for the company.
#### A) Cost per coach:
1. **Pay for driver**: £95
2. **Fuel cost**: 70p per mile \(\rightarrow\) £0.70 per mile
   - **Distance per coach**: 200 miles
   - **Fuel cost per coach**: \(200 \times 0.70 = £140\)

\[
\text{Total cost per coach} = £95 + £140 = £235
\]

#### B) Total cost for all coaches:
- **Number of coaches**: 8

\[
\text{Total cost for all coaches} = 8 \times £235 = £1880
\]

### Step 4: Calculate the total profit.
\[
\text{Total profit} = \text{Total income} - \text{Total cost} = £9200 - £1880 = £7320
\]

So, the total profit the company makes from this trip is **£7320**.

Would you like further details or have any questions?

Here are some related questions:
1. How would the profit change if the number of passengers increased to 450?
2. What would the total profit be if the fuel cost per mile was increased to 80p?
3. If each passenger paid £25 instead of £23, what would the new profit be?
4. How would the profit change if the trip distance was reduced to 150 miles?
5. What would be the impact on profit if the driver’s pay was increased to £120 per coach?

**Tip:** Always double-check calculations by breaking down the problem into smaller, manageable parts to avoid mistakes.

400 passengers go on a coach trip. Each coach takes 50 passengers. Each passenger pays £23. The table shows the costs for the coach company. Each coach travels 200 miles. Work out the total profit the company makes from this trip.

Calculate the total profit from a coach trip transporting 400 passengers, with detailed step-by-step solutions. Covers essential arithmetic concepts, including cost and profit calculation, with real-world examples. Suitable for students in Grades 6-8.

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