Answer:
a. The Singapore dollar to Australian dollar cross rate is (SGD = 1.00 AUD) 1.0278.
b. The number of Australian dollars Anne will get is 1,070.25 Australian dollars.
Explanation:
a. What is the Singapore dollar to Australian dollar cross rate?
Given:
Spot rate (SGD = 1.00 USD) 1.3443
Spot rate (USD = 1.00 AUD) 0.7646
These imply that:
1.3443 SGD = 1.00 USD ..................... (1)
0.7646 USD = 1.00 AUD ................... (2)
From equation (2), we divide through by 0.7646 to have:
0.7646 / 0.7646 USD = 1.00 / 0.7646 AUD
1.00 USD = 1.3079 AUD
Substituting this into equation (1) and solve as follows:
1.3443 SGD = 1.00 USD = 1.3079 AUD
Dropping 1.00 USD, we have:
1.3443 SGD = 1.3079 AUD
Dividing through by 1.3079, we have:
1.3443 / 1.3079 SGD = 1.3079 / 1.3079 AUD
1.0278 SGD = 1.00 AUD
Therefore, the Singapore dollar to Australian dollar cross rate is (SGD = 1.00 AUD) 1.0278.
b. How many Australian dollars will Anne get for her Singapore dollars?
This can be calculated as follows:
Number of Australian dollars Anne will get = Amount of Singapore dollars Anne wishes to exchange for Australian dollars / Singapore dollar to Australian dollar cross rate = 1,100 / 1.0278 = 1,070.24712979179 Australian dollars
Rounding to two decimal places as required, we have:
Number of Australian dollars Anne will get = 1,070.25 Australian dollars
Therefore, the number of Australian dollars Anne will get is 1,070.25 Australian dollars.
