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A tourist from Mexico is vacationing in the U.S. One day he notices that gas cost 2.82dollars per gallon. On that same day, 1 peso is worth 0.053 dollars. Fill in the two blanks on the left side of equation using two of the ratios. Then write answer rounded to the hundredth on the right side of the equation

A tourist from Mexico is vacationing in the US One day he notices that gas cost 282dollars per gallon On that same day 1 peso is worth 0053 dollars Fill in the class=

Respuesta :

We must do the dimensional analysis to solve that problem, then, to have L in the denominator let's multiply $/gal by gal/L, if we do that

[tex]\frac{\$}{\text{ gal}}\cdot\frac{\text{ gal}}{\text{ L}}=\frac{\$}{\text{ L}}[/tex]

Now we have a dollar per liter ($/L) we must change the dollar to pesos, then let's use pesos/$, it will result in

[tex]\frac{\$}{L}\cdot\frac{\text{ pesos}}{\$}=\frac{\text{ pesos}}{L}[/tex]

Now we know the order we can just multiply the vales:, see that

[tex]\frac{\$}{\text{ gal}}\cdot\frac{\text{ gal}}{\text{ L}}\cdot\frac{\text{ pesos}}{\$}=\frac{\text{ pesos}}{L}[/tex]

Then let's do it using the values

[tex]\frac{2.82\operatorname{\$}}{\text{gal}}\cdot\frac{\text{gal}}{3.79\text{L}}\cdot\frac{\text{pesos}}{0.053\operatorname{\$}}=14.04\frac{\text{pesos}}{L}[/tex]

The final answer is

[tex]14.04\cdot\frac{\text{ pesos}}{L}[/tex]

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