Question

Steve changed $600 into 480 Euros. How many Euros did he receive for each US dollar?

Short answer

Steve receive 0.8 Euros for each US dollar .

Step-by-step solution

Step 1. Given Information:

Steve changed $600 US dollars into 480 Euros,

Need to find the value of one US dollar in Euros.

:Translate into a proportion :

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

$\frac{Euros}{USdollars}=\frac{Euros}{USdollars}$

Let x be Euros for each US dollars,

Proportion, role="math" localid="1647792246141" $\frac{\mathbf{480}}{\mathbf{600}}\mathbf{=}\frac{\mathbf{x}}{\mathbf{1}}$

Step 3. Solve Proportion : 

$\frac{\mathbf{480}}{\mathbf{600}}\mathbf{=}\frac{\mathbf{x}}{\mathbf{1}}$

Multiply both sides by the LCD(Lowest common denominator ) = 600.

$600\times \left(\frac{480}{600}\right)=600\times \left(\frac{x}{1}\right)$

Remove common factors on each side.

$$\begin{gathered} \cancel{600}\times \left(\frac{480}{\cancel{600}}\right)=600\times \left(\frac{x}{1}\right) \\ x=\frac{480}{600} \\ x=0.8Euros. \end{gathered}$$