You would spend $95.10.
You use a series of conversion factors.
There are many conversions, so let's break it into parts.
Calculate the gallons used
1 week × 7days1week×125km1day×1mi1.60934km×1gal30.0mi =
18.123 gal (three significant figures plus two guard digits)
Calculate the cost
18.123 gal × 3.78541L1gal×€1.101L×$1.26€1 = $95.10
The answer has only three significant figures, so it is precise only to the nearest
10 ¢.
Notice how the conversion factors are set up so they cancel to give the desired units at the end.
Total amount of money spend on the gas used as per given mileage is equals to 79.86 dollars.
"Mileage is defined as the total distance travelled in the given quantity of fuel."
Conversion used
1week = 7 days
1mile = 1.6094 km
1gallon = 3.7854 km
According to the question,
Distance travelled by car per day = 105km
Total distance travelled by car in 1 week = (105 × 7 )km
Mileage of a car = 30.0 miles/gallons
Convert the unit of mileage to km/ liter we get,
30.0 miles/gallons = [tex]\frac{(30)(1.6094)}{3.7854}[/tex] km/liter
Fuel consumes per km
[tex]1km= \frac{3.7854}{(30)(1.6094)} 1liter[/tex]
⇒[tex](105)(7)km= \frac{(3.7854)(105)(7)}{(30)(1.6094)} 1liter[/tex]
[tex]= 57.62 liter[/tex]
Cost per liter = 1.10 euro
Total amount used for 57.62 liter = (57.62 × 1.10 ) euro
= (57.62 × 1.10 × 1.26) dollars
= 79.86 dollars
Hence, total amount of money spend on the gas used as per given mileage is equals to 79.86 dollars.
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