Final answer:
The Spanish family exchanged a sum of money for euros at different rates before and after their holiday, calculated the percentage of cost difference for a toy in Scotland compared to Spain, split the holiday cost among adults and children with adults paying double, and computed the original holiday cost before a 10% discount. Additionally, they worked out the average speed of the plane in two different units.
Step-by-step explanation:
The Spanish family bought 800 pounds at a rate of £1 = 1.52 euros. Therefore, the cost in euros is 800 pounds × 1.52 euros/pound = 1216 euros.
When the family returned home with £118 and changed this back into 173.46 euros, the rate they received is 173.46 euros / £118 = 1.47 euros per pound.
To calculate the percentage of the cost difference for the toy in Scotland compared to Spain: ((11.50 euros - 9.75 euros) / 11.50 euros) × 100 = 15.22% less in Scotland.
The total cost of the holiday was 4347 euros. Assuming 2 adults and 3 children, with one adult costing double that of a child: C + C + 2C + 2C = 4347 euros. This simplifies to 6C = 4347 euros, so the cost for one child (C) is 4347 euros / 6 = 724.50 euros.
The original cost of the holiday before a 10% reduction was 4347 euros / 0.90 = 4830 euros.
For the plane journey:
Convert 3 hours 15 minutes to hours: 3 hours + (15 minutes / 60) = 3.25 hours.
Divide the distance by the time to find the average speed in km/hr: 2350 km / 3.25 hours = 723.08 km/hr.
Convert km/hr to m/s: (723.08 km/hr) × (1000 m/1 km) × (1 hr/3600 s) = 200.85 m/s.