Question

When traveling to Great Britain, Bethany exchanged her $900 into 570 British pounds. How many pounds did she receive for each American dollar?

Short answer

Bethany receive 0.63 British pounds for each Australian dollars .

Step-by-step solution

Step 1. Given Information:

Bethany changed $900 American dollar into 570 British pounds ,

Need to find the value of one American dollar in British pounds.

:Translate into a proportion :

Need to take care of the units while translate into a proportion,

$\frac{Britishpounds}{Australiandollars}=\frac{Britishpounds}{Australiandollars}$

Let x be British pounds for each Australian dollars,

Proportion, $\frac{\mathbf{570}}{\mathbf{900}}\mathbf{=}\frac{\mathbf{x}}{\mathbf{1}}$

Step 3. Solve Proportion : 

$\frac{\mathbf{570}}{\mathbf{900}}\mathbf{=}\frac{\mathbf{x}}{\mathbf{1}}$

Multiply both sides by the LCD(Lowest common denominator ) = 900.

$900\times \left(\frac{570}{900}\right)=900\times \left(\frac{x}{1}\right)$

Remove common factors on each side.

role="math" localid="1647794864174" $$\begin{gathered} \cancel{900}\times \left(\frac{570}{\cancel{900}}\right)=900\times \left(\frac{x}{1}\right) \\ x=\frac{570}{900} \\ x=\mathbf{0}\mathbf{.}\mathbf{6}\overline{\mathbf{3}}Australiandollars. \end{gathered}$$