Answer: [tex]\$10.503[/tex]
Step-by-step explanation:
Knowing that the price of gasoline in France is 2.099 euros per liter, you can follow these steps in ordere to calculate the price of the gasoline in US dollars per gallon:
1. Convert 2.099 euros to US dollars:
[tex](2.099\ euros)(\frac{1\ US\ dollar}{0.7564\ euros})=2.774\ US\ dollars[/tex]
Then, the price in US dollars per liter is [tex]2.774\ US\ dollars\ per\ liter[/tex]
3. Knowing that:
[tex]1\ liter=1.0567\ quarts\\\\4\ quarts = 1\ gallon[/tex]
You can make the conversion from 1.0567 quarts to gallons:
[tex](1.0567\ quarts)(\frac{1\ gallon}{4\ quarts})=0.2641\ gallons[/tex]
4. Set up the following proportion:
[tex]\frac{2.774}{0.2641}=\frac{x}{1}[/tex]
Where "x" is the the price in US dollars per gallon.
5. Solving for "x", you get:
[tex]\frac{(2.774)(1)}{(0.2641)}=x\\\\x=10.503[/tex]
