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On a certain day, the exchange rate between Singapore dollars (SGD) and
US dollars (USD) is 1 SGD = 0.74 USD. The exchange rate between Australian
dollars (AUD) and US dollars (USD) is 1 AUD = 0.71 USD.
(a) Find the exchange rate, correct to 3 decimal places, between Singapore dollars
and Australian dollars in AUD/SGD.
(b) Mr Lim has a son studying in a university in Sydney. He has to remit 25 000
AUD to him. Find the required amount in Singapore dollars, correct to the nearest
dollars.
Pls find the correct question to solve it​

Sagot :

Answer:

Step-by-step explanation:

SGD / USD  *  USD / AUD  =  SGD/AUD

Now put in the numbers :

1 /.74  * .71 / 1  =  71/74  SGD /AUD

    THEN just flip it:    74/71 AUD/SGD  = 1.042  AUD/SGD

25000 AUD  * 71/74 SGD/AUD = 23986 SGD  

Answer:

(a) 1 AUD = 0.959 SGD

(b) 25,000 AUD = 23,986 SGD

Step-by-step explanation:

We have the following exchange rates

0.74 USD = 1 SGD

This means
[tex]1 $ USD = $ \dfrac{1}{0.74} $ SGD (divide both sides by 0.74)[/tex]

0.71 USD = 1 AUD

[tex]1 $ USD = $ \dfrac{1}{0.71} $ AUD (divide both sides by 0.71)[/tex]

(a)

Therefore

[tex]1 $ USD = $ \dfrac{1}{0.74} $ SGD = \dfrac{1}{0.71} $ AUD[/tex]
or

[tex]\dfrac{1}{0.74} $ SGD = \dfrac{1}{0.71} $ AUD[/tex]

Switch sides:
[tex]\dfrac{1}{0.71} $ AUD = \dfrac{1}{0.74} $ SGD[/tex]

Multiplying both sides by 0.71 gives
[tex]1 $ AUD = \dfrac{1}{0.74} \cdot 0.71 = \dfrac{0.71}{0.74} = 0.959 $ SGD[/tex]

(b) If the remittance is 25,000 AUD then the amount in SGD = 25,000 x 0.959 = 23,986 SGD

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