If I paid a total amount of 827€ with my card in my holidays in Sweden and my girlfriend paid 1560€ with hers and we would like to be fifty fifty, knowing that in my total I paid 87,45€ for my taxi which is going to be reimbursed to my girlfriend by the taxi agency and that she will keep for herself in some weeks and not to me, how much do I own her in the end

Let's break this down step by step to figure out how much you owe your girlfriend.

### Step 1: Calculate the total expenses
- You paid: 827€  
- Your girlfriend paid: 1560€  
- The combined total expenses are:  
  \[
  827 + 1560 = 2387 \, \text{€}
  \]

### Step 2: Subtract the reimbursable taxi amount
- You paid 87.45€ for a taxi, which will be reimbursed to your girlfriend. Since she will keep this amount, we subtract this from the total combined expenses:  
  \[
  2387 - 87.45 = 2299.55 \, \text{€}
  \]

### Step 3: Split the remaining total equally
The goal is to split the remaining expenses equally between you and your girlfriend. So, each person should pay:  
\[
\frac{2299.55}{2} = 1149.775 \, \text{€}
\]
Let’s round to 1149.78€ for simplicity.

### Step 4: Calculate how much you owe
- You already paid 827€, but you should have paid 1149.78€.  
- The amount you owe her is:  
  \[
  1149.78 - 827 = 322.78 \, \text{€}
  \]

### Conclusion:
You owe your girlfriend **322.78€**.

Would you like more details on this or do you have any questions?

---

Here are 5 related questions to expand the understanding:
1. How would the calculation change if the reimbursement amount were different?
2. What if you both wanted to share the reimbursed taxi cost equally?
3. How can you keep track of expenses more efficiently in future trips?
4. What if one person paid for something on behalf of both of you, and how does it affect the balance?
5. How would exchange rates impact this if you were dealing with different currencies?

**Tip:** Always keep a record of shared expenses in a tracking app during trips to avoid confusion later!

If I paid a total amount of 827€ with my card in my holidays in Sweden and my girlfriend paid 1560€ with hers and we would like to be fifty fifty, knowing that in my total I paid 87,45€ for my taxi which is going to be reimbursed to my girlfriend by the taxi agency and that she will keep for herself in some weeks and not to me, how much do I own her in the end?

Learn how to split shared expenses during a trip when one partner has paid an amount that will be reimbursed. This problem involves calculating total expenses, subtracting the reimbursed amount, and determining how much one person owes the other. Suitable for high school students learning basic algebra and real-life math applications.

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