Joe went on holiday to Spain. His flights cost a total of \( £ 320 \) Joe stayed in an apartment for 3 weeks. The apartment cost 560 euros each week. Joe hired a car for 15 days. The car hire cost 20.16 euros each day. The exchange rate was \( £ 1=1.12 \) euros. (a) Work out the total cost, in pounds, of the flights, the apartment and the car hire.
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To calculate the total cost in pounds, we first convert all costs into euros and then into pounds using the given exchange rate. 1. **Flights**: The cost is £320. 2. **Apartment**: The total cost for 3 weeks is \( 3 \times 560 = 1680 \) euros. 3. **Car Hire**: The cost for 15 days is \( 15 \times 20.16 = 302.4 \) euros. Now, we combine these euro costs: - Total euro cost = \( 1680 + 302.4 = 1982.4 \) euros. Next, we convert the total cost to pounds: - To convert euros to pounds, we divide by the exchange rate: \[ 1982.4 \, \text{euros} \div 1.12 \approx 1774.29 \, \text{pounds}. \] Finally, we add the flight cost to find the total cost: \[ 1774.29 \, \text{pounds} + 320 \, \text{pounds} \approx 2094.29 \, \text{pounds}. \] Thus, the total cost, in pounds, of the flights, the apartment, and the car hire is approximately £2094.29.