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The image describes a travel scenario for a family going from Arnhem to Middelburg, and the question asks for the total train fare cost. Here’s the breakdown of key details:

1. **Travel Information**:
   - The family consists of **two adults** and **three children** (aged 6, 9, and 13).
   - They are traveling **1st class** with a **Dal Voordeel subscription** (providing a **40% discount** during off-peak hours).
   - Departure: **Monday** (to arrive by 12:00 PM).
   - Return: **Saturday**, in **2nd class** during off-peak hours.

2. **Train Prices** (as shown in the image):
   - **1st class** (full fare):
     - **One-way**: €42.80 per person.
     - **Round trip**: €85.60 per person.
   - **Children 4-11 years**: €2.50 per trip.
   - **Children under 3**: Free.
   - **Dal Voordeel subscription**: 40% discount during off-peak hours, 20% during peak hours.

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### Step-by-Step Calculation:

#### 1. **Outbound Trip (Monday) in 1st Class:**
   - **Adults** (2 adults):
     - Original 1st class fare for one-way: €42.80.
     - With a 40% discount (Dal Voordeel), each adult pays:  
       \( 42.80 \times (1 - 0.40) = 25.68 \).
     - For two adults:  
       \( 25.68 \times 2 = 51.36 \).

   - **Children** (Aged 6 and 9):
     - Each child fare: €2.50 for 1st class.
     - Total for two children:  
       \( 2.50 \times 2 = 5.00 \).

   - **Child (Aged 13)** (adult fare applies):
     - With a 40% discount:  
       \( 42.80 \times (1 - 0.40) = 25.68 \).

   - **Total for the outbound trip**:  
     \( 51.36 + 5.00 + 25.68 = 82.04 \).

#### 2. **Return Trip (Saturday) in 2nd Class:**
   - **Adults** (2 adults):
     - Original 2nd class round-trip fare: €25.20.
     - With a 40% discount (off-peak hours), each adult pays:  
       \( 25.20 \times (1 - 0.40) = 15.12 \).
     - For two adults:  
       \( 15.12 \times 2 = 30.24 \).

   - **Children** (Aged 6 and 9):
     - Each child fare: €2.50.
     - Total for two children:  
       \( 2.50 \times 2 = 5.00 \).

   - **Child (Aged 13)** (adult fare applies):
     - With a 40% discount:  
       \( 25.20 \times (1 - 0.40) = 15.12 \).

   - **Total for the return trip**:  
     \( 30.24 + 5.00 + 15.12 = 50.36 \).

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### Final Total Cost:
- Outbound trip: **€82.04**.
- Return trip: **€50.36**.
- **Total**:  
  \( 82.04 + 50.36 = 132.40 \).

So, the total amount the Xiam family pays for their train journeys is **€132.40**.

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Would you like further details on this calculation or have any questions? 

Here are 5 related questions:
1. How do train subscriptions like Dal Voordeel work in the Netherlands?
2. What are the advantages of traveling during off-peak hours?
3. Can you calculate the fare for different travel classes without a subscription?
4. How does the fare for children differ from adults on Dutch trains?
5. How does the discount differ between peak and off-peak times?

**Tip**: Subscribing to travel discount programs like Dal Voordeel can save you significant amounts, especially for frequent trips!

De familie Xiam uit Arnhem gaat op vakantie naar Middelburg. Het gezin bestaat uit twee volwassenen en drie kinderen van 6, 9 en 13 jaar. Ze vertrekken op maandag en willen uiterlijk om 12:00 uur aankomen in Middelburg. Het gezin reist 1e klas en heeft Dal Voordeelabonnementen. Op zaterdag reist het gezin in de daluren terug in de 2e klas. Hoeveel betaalt de familie Xiam in totaal voor de treinreizen?

Learn how to calculate the total train fare for a family trip from Arnhem to Middelburg with Dal Voordeel subscription. This problem involves calculating discounted prices for 1st and 2nd class fares, children's fares, and round trips. Suitable for students in Grades 6-8.

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