Question

Solve the problem. Round your answer to cents.Recently, one Euro was worth about $1.11. Gasoline sells in Germany for 1.189 euro/L.What is the gasoline price in dollar per gallon? (1 gal = 3.785 L)

Answer 1

Since 1 euro was worth about $1.11 dollars, then, the gasoline price in dollar per liter is:

`\begin{gathered} 1.189euro\text{ per liter=1.189}\cdot1.11\text{ dollar per liter} \\ =1.31979\text{ dollar per liter.} \end{gathered}`

Now, since 1gal=3.785L, we get that:

`1L=(1)/(3.785)\text{gal.}`

Therefore, the gasoline price in dollar per gallon is:

`\begin{gathered} 1.31979\text{ dollar per liter}=1.31979\text{ dollar per}(1)/(3.785)gallon \\ =1.31979\cdot3.785\text{ dollar per gallon} \\ \approx4.995\text{ dollar per gallon} \\ \approx5.00\text{ dollar per gallon.} \end{gathered}`

Answer: The gasoline price is 5.00 dollars per gallon.