Eva bought an Xbox for US$199.95, when she was on holidays in the United States. The exchange rate was US$1.33 = €1. (i) Convert the cost of the Xbox to euro. Write your answer correct to the nearest cent. An Xbox of the same model costs €269.99 in Ireland. (ii) How much money did Eva save by buying the Xbox in the United States?

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Eva bought an Xbox for US$199.95, when she was on holidays in the United States - Junior Cycle Mathematics - Question i - 2014

Question i

Eva bought an Xbox for US$199.95, when she was on holidays in the United States. The exchange rate was US$1.33 = €1. (i) Convert the cost of the Xbox to euro. Write... show full transcript

Worked Solution & Example Answer:Eva bought an Xbox for US$199.95, when she was on holidays in the United States - Junior Cycle Mathematics - Question i - 2014

Step 1

Convert the cost of the Xbox to euro.

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Answer

To convert the cost of the Xbox from US dollars to euros, use the exchange rate provided. The formula for conversion is:

$ext{Cost in Euros} = \frac{\text{Cost in US Dollars}}{\text{Exchange Rate}}$

Substituting in the values:

$\text{Cost in Euros} = \frac{199.95}{1.33} \approx 150.34$

Thus, the cost of the Xbox in euros is €150.34, rounded to the nearest cent.

Step 2

How much money did Eva save by buying the Xbox in the United States?

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Answer

To find out how much money Eva saved, subtract the cost of the Xbox in euros from the price of the Xbox in Ireland:

$\text{Savings} = \text{Cost in Ireland} - \text{Cost in Euros}$

Calculating this gives:

$\text{Savings} = 269.99 - 150.34 = 119.65$

Therefore, Eva saved €119.65 by purchasing the Xbox in the United States.

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