Roger receives 800 Australian dollars for 610 euros. Calculate the value of the US dollar in Australian dollars

Question

The exchange rate from US dollars to euros is given by 1 USD=.753 Euros. 

Answer 1

I usually do this using unit pricing techniques.

If 800 Australian dollars = 610 Euros, you can divide both by 610 to get the value of 1 Euro, which is needed for the next

                                                       step.

So 800/610 Australian dollars = 1 Euro

So 1.31147541 Australian Dollars = 1 Euro.......now multiply both by .753

So 1.31147541*(.753) Australian dollars = .753 Euros = 1 US dollar.

So .987564 Australian dollars = 1 US dollar    divide by .98754 to get

1 Australian dollar = 1.01262 USD now multiply by 800 to get

800 Australian dollars = 810.09 USD

 

This looks like a lot of steps, but I feel it's less confusing than using proportions. Hope this helped.