A Spanish family went to Scotland for a holiday.
(a) The family bought 800 pounds (£) at a rate of £1 = 1.52 euros (€).
How much did this cost in euros?
(b) The family returned home with £118 and changed this back into euros.
They received €173.46.
Calculate how many curos they received for each pound.
(c) A toy which costs €11.50 in Spain costs only €9.75 in Scotland.
Calculate, as a percentage of the cost in Spain, how much less it costs in Scotland.
(d) The total cost of the holiday was
€4347.00.
In the family there were 2 adults and 3 children.
The cost for one adult was double the cost for one child.
Calculate the cost for one child.
(e) The original cost of the holiday was reduced by 10% to €4347.00.
Calculate the original cost.
Answers
Given : A Spanish family went to Scotland for a holiday.
The family bought 800 pounds (£) at a rate of £1 = 1.52 euros (€).
The family returned home with £118 and changed this back into euros.
They received €173.46.
A toy which costs €11.50 in Spain costs only €9.75 in Scotland.
The total cost of the holiday was €4347.00.
In the family there were 2 adults and 3 children.
The cost for one adult was double the cost for one child.
The original cost of the holiday was reduced by 10% to €4347.00.
To Find : How much did this cost in euros?
Calculate how many euros they received for each pound.
Calculate, as a percentage of the cost in Spain, how much less it costs in Scotland.
Calculate the cost for one child.
Calculate the original cost.
Solution:
The family bought 800 pounds (£) at a rate of £1 = 1.52 euros (€).
cost in euros = 800 * 1.52 = 1216 €
The family returned home with £118 and changed this back into euros.
They received €173.46.
euros they received for each pound. = 173.46 / 118 = 1.47
A toy which costs €11.50 in Spain costs only €9.75 in Scotland.
as a percentage of the cost in Spain, less it costs in Scotland.
= 100 x ( 11.5 - 9.75) / (11.5)
= 15.22 %
The total cost of the holiday was €4347.00.
In the family there were 2 adults and 3 children.
The cost for one adult was double the cost for one child.
cost for one child. = x => cost for adult = 2x
Total cost = 2(2x) + 3x = 7x
7x = 4347
=> x = 621 €
cost for one child = 621 €
The original cost of the holiday was reduced by 10% to €4347.00.
y = original cost
y - (10/100)y = 4347.00
=> 0.9y = 4347.00
=> y = 4830 €
original cost = 4830 €
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