Question

Todd is traveling to Mexico and needs to exchange $450 into Mexican pesos. If each dollar is worth 12.29 pesos, how many pesos will he get for his trip?

Short answer

Todd will get around 5,530.5 Mexican pesos.

Step-by-step solution

Step 1. Given Information:

Todd is traveling to Mexico with $450 US dollars,

$1 US dollars is equal to 12.29 Mexico pesos .

:Translate into a proportion :

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

$\frac{pesos}{USdollars}=\frac{pesos}{USdollars}$

Let x be the pesos after exchanging $450 US dollars,

Proportion, $\frac{\mathbf{12}\mathbf{.}\mathbf{29}}{\mathbf{1}}\mathbf{=}\frac{\mathbf{x}}{\mathbf{450}}$

Step 3. Solve Proportion : 

$\frac{\mathbf{12}\mathbf{.}\mathbf{29}}{\mathbf{1}}\mathbf{=}\frac{\mathbf{x}}{\mathbf{450}}$

Multiply both sides by the LCD(Lowest common denominator ) = 450.

$450\times \left(\frac{12.29}{1}\right)=450\times \left(\frac{x}{450}\right)$

Remove common factors on each side.

localid="1647792512767" $$\begin{gathered} 450\times \left(\frac{12.29}{1}\right)=\cancel{450}\times \left(\frac{x}{\cancel{450}}\right) \\ x=450\times 12.29 \\ x=5,530.5Mexicopesos. \end{gathered}$$