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Andy flies from the UK to Japan.
His plane ticket costs £554.
Andy then flies from Japan to Australia.
His plane ticket costs 70 140 Japanese Yen.
The exchange rate is £1 = 140 Japanese Yen.
Leila flies from the UK to Australia.
Her plane ticket costs 1860 Australian dollars.
The exchange rate is 1 Australian dollar = £0.62.
Who pays more to fly from the UK to Australia, Andy or Leila?
You must show clearly how you get your answer.

Respuesta :

cryssatemp

Answer: Leia pays more to fly from the UK to Australia

Step-by-step explanation:

We have two persons, Andy and Leila; both travel from UK to Australia but in different ways:

For Andy:

-He first flies from UK to Japan and the cost of the ticket is [tex]\£ 554[/tex]

-Then he flies from Japan to Australia and the cost of the ticket is [tex]70140 Yen[/tex]

So, the cost of Andy's trip is:

[tex]\£ 554+70140 Yen[/tex] (1)

Taking into account that we have to use the same units to sum two quantities, we have to convert the Yens to [tex]\£[/tex]; knowing that [tex]\£ 1=140 Yen[/tex]:

[tex]70140 Yen \frac{\£ 1}{140 Yen}=\£501[/tex]

Then, (1) is rewritten as:

[tex]\£ 554+\£501=\£1055[/tex] (2) This is the total cost of Andy's trip

For Leila:

She flies directly from UK to Australia and the cost of her ticket is [tex]\$ 1860[/tex] (Australian dollars)

Taking into account that we have the price of Andy's trip in [tex]\£[/tex], we have to convert the Australian dollars to [tex]\£[/tex], in order to compare.

So, knowing that [tex]\$ 1=\£ 0.62[/tex] we have:

[tex]\$ 1860 \frac{\£ 0.62}{\$ 1}=\£1153.2[/tex] (3) This is the total cost of Leila's trip

Hence, comparing (2) and (3) we can see that Leila paid more to fly from UK to Australia.

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