The exchange rate from US dollars (USD) to euros (EUR) is given by 1 USD = 0.753 EUR. Give the answers to the following correct to two decimal places.
Roger receives 800 Australian dollars (AUD) for 610 EUR. Calculate the value of the US dollar in Australian dollars.
Please please could you be so nice and help me please??
I convert that 1 AUD is 0.7625 EUR
and 1 EUR is 1.31147 AUD
but how I can convert USD in AUD ???
Thank you so much for huge help.
Convert from AUD to EUR, than EUR to USD.
By the way, you converted AUD to EUR, than apparently EUR back to AUD, yet you have different numbers for AUD...
610EUR/800AUD * 1USD/0.753EUR =
1.0126 USD/1AUD
Note: EUR in the Equation cancels.
1USD/xUSD = 0.753 EUR/ 610 EUR
x= 810.09 USD
800 AUD/810.09AUD = 810.09 USD/1 USD
x = 0.99 AUD
Henry and Jack thank you so much for helping me but do you think my answer is correct?
Thank you so much
To convert US dollars (USD) to Australian dollars (AUD), we need to know the exchange rate between the two currencies. However, in the given information, we have the exchange rate between USD and euros (EUR) and the exchange rate between euros (EUR) and Australian dollars (AUD).
To solve this problem, we can use a two-step conversion process:
Step 1: Convert USD to EUR.
Given: 1 USD = 0.753 EUR
Let's say we have x USD. To convert it to EUR, we can use the exchange rate: x USD * (0.753 EUR/1 USD) = 0.753x EUR.
Step 2: Convert EUR to AUD.
Given: 1 EUR = 1.31147 AUD
Let's say we have 0.753x EUR. To convert it to AUD, we can use the exchange rate: 0.753x EUR * (1.31147 AUD/1 EUR) = 0.98739x AUD.
So, the value of x USD in AUD is approximately 0.98739x AUD.
Now, let's apply this to the given question:
Roger receives 800 AUD for 610 EUR, and we want to calculate the value of the US dollar in Australian dollars.
Step 1: Convert 610 EUR to USD.
610 EUR * (1 USD/0.753 EUR) = 810.91 USD (rounded to two decimal places).
Step 2: Convert 810.91 USD to AUD.
0.98739 * 810.91 USD = 800 AUD (rounded to two decimal places).
Therefore, the value of the US dollar in Australian dollars is approximately 800 AUD.