While in europe, if you drive 125 km per day, how much money would you spend on gas in one week if gas costs 1.10 euros per liter and your car's gas mileage is 23.0 mi/gal ? assume that 1euro=1.26dollars?

Respuesta :

Step 1

Find the total number of kilometers driven in a week

Multiply [tex]125 km[/tex] by [tex]7[/tex]

[tex]125*7=875\ km[/tex]

Step 2

Find the the amount of gasoline required

we know that

The car's gas mileage is [tex]23\frac{mi}{gal}[/tex]

convert km to miles

[tex]1\ mile=1.60934\ km[/tex]

[tex]875\ km=875/(1.60934)=543.70\ miles[/tex]

Divide [tex]543.70[/tex] miles to [tex]23\frac{mi}{gal}[/tex] to find the number of gallons

[tex]543.70/23=23.64\ gal[/tex]

Step 3

Find the cost

we know that

The gas costs [tex]1.10[/tex] euros per liter

convert gallons to liters

[tex]1\ gal=3,78541\ lt[/tex]

[tex]23.64\ gal=23.64*3.78541=89.48\ liters[/tex]

[tex]89.48*1.10=98.43\ euros[/tex]

convert euros to dollars

[tex]1\ euro=1.26\ dollars[/tex]

[tex]98.43*1.26=\$124.02[/tex]

therefore

the answer is

[tex]\$124.02[/tex]