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The task (Aufgabe 3) describes a scenario where Simon has borrowed his mother's car for a trip and now needs to refill the gas tank. Here is a breakdown of the problem:

- Simon borrowed the car and noticed that the gas tank is currently only **1/4 full**.
- The car's gas tank has a total capacity of **55 liters**.
- Simon needs to fill the tank back up to full.
- The price of gasoline (Super) today is **1.56 € per liter**.
- Simon has **45.50 €** in his pocket and is wondering if that amount is enough to refill the tank.

### Steps to solve:

1. **Calculate the amount of fuel needed**:
   - Since the tank is 1/4 full, the car still needs 3/4 of the tank to be filled.
   - \( \frac{3}{4} \times 55 \, \text{liters} = 41.25 \, \text{liters} \).

2. **Calculate the cost to refill**:
   - \( 41.25 \, \text{liters} \times 1.56 \, \text{€ per liter} = 64.35 \, \text{€} \).

3. **Check if Simon has enough money**:
   - Simon only has 45.50 €, but the total cost would be 64.35 €, which means **he does not have enough money** to fully refill the tank.

Therefore, Simon will need more money than he currently has to fully refill the car's gas tank.

Would you like more details on any part of this explanation?

Here are 5 related questions for further understanding:
1. How would the outcome change if the price of fuel were lower, say 1.40 € per liter?
2. What if Simon had more money, say 70 €, how much would he be left with after refueling?
3. How can you calculate the total price if the tank were half-full instead of 1/4 full?
4. What if Simon only had to fill 2/3 of the tank instead of 3/4?
5. How could Simon estimate how much fuel he can buy with the 45.50 € he currently has?

**Tip:** When calculating fuel costs, always first check how much fuel is left and how much more is needed to fill the tank.

Simon hat sich das Auto seiner Mutter für einen Ausflug mit seiner Freundin ausgeliehen. Laut Tankanzeige ist der Tank nach der Spritztour noch zu 1/4 gefüllt. Er hat seiner Mutter versprochen, das Auto wieder vollgetankt zurückzubringen. Er weiß, dass der Tank 55 Liter fasst. 'Ah, da ist eine Tankstelle. Super kostet heute 1,56 €. Reichen mir wohl die 45,50 €, die ich noch in der Tasche habe?'

Simon needs to refill 3/4 of a 55-liter tank at 1.56€ per liter and has 45.50€. Will that be enough? Learn how to calculate the fuel needed and the total cost in this practical math problem.

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