Question

Helena is going for a holiday to France. She changes 900 Singapore Dollars (SGD) into Euros (EUR) with no commission charged. The exchange rate between EUR and SGD is:

1 EUR = 1.49 SGD



(a) Calculate the value of 900 SGD in EUR to the nearest whole number.



At the end of Helena’s holiday in France she has 155 EUR. She converts this back to SGD at a bank, which does not charge commission, and receives 227.85 SGD.

(b) Find the exchange rate of this second transaction.

Answer 1

To calculate the value of 900 SGD in EUR to the nearest whole number, divide 900 SGD by 1.49 SGD. The value is approximately 603 Euros. To find the exchange rate of the second transaction, set up a proportion using the exchange rate from the first transaction.

Step-by-step explanation:

To calculate the value of 900 SGD in EUR to the nearest whole number, we can use the given exchange rate of 1 EUR = 1.49 SGD.

1. Divide 900 SGD by 1.49 SGD to get the equivalent in EUR: 900 SGD ÷ 1.49 SGD = 603.355704698Euros (rounded to 3 decimal places).

Therefore, the value of 900 SGD in EUR, to the nearest whole number, is approximately 603 Euros.

To find the exchange rate of the second transaction, where Helena converts 155 EUR to SGD and receives 227.85 SGD, we can set up a proportion using the exchange rate from the first transaction:

1. 1 EUR ÷ 1.49 SGD = 227.85 SGD ÷ 155 EUR.
2. Cross-multiply and solve for the missing value:
3. 1.49 SGD × 155 EUR = 227.85 SGD × 1EUR
4. 231.95 SGD = 227.85 SGD
5. So, the exchange rate of the second transaction is 1 EUR = 231.95/227.85 SGD.

Therefore, the exchange rate of the second transaction is approximately 1 EUR = 1.02 SGD.

Answer 2

a) 900 SGD = 604.03 EUR

b) 1 EUR = 1.47 SGD

Step-by-step explanation:

It is given that:

1 EUR = 1.49 SGD

a) Value of 900 SGD.

1 SGD =
`(1)/(1.49)`

900 SGD =
`(1)/(1.49)*900` = 604.03 EUR

b) 155 EUR = 227.85 SGD

1 EUR =
`(227.85)/(155)`

1 EUR = 1.47 SGD

Thus,

a) 900 SGD = 604.03 EUR

b) 1 EUR = 1.47 SGD