both problems In Europe, gasoline efficiency is measured in km/L. If your car\'s

Question

both problems

In Europe, gasoline efficiency is measured in km/L. If your car's gas mileage is 21.0 mi/gal, how many liters of gasoline would you need to buy to complete a 142-km trip in Europe? Use the following conversions: 1 km 0.6214 mi and 1 gal 3.78 L Express your answer numerically in liters View Available Hint(s) 19.11 Submit Previous Answers X Incorrect; Try Again; 5 attempts remaining Part B While in Europe, if you drive 103 km per day, how much money would you spend on gas in one week if gas costs 1.10 euros per liter and your cars gas mileage is 36.0 mi/gal ? Assume that 1 euro 1.26 dollars Express your answer numerically in dollars. View Available Hint(s) 78.11 dollars Submit Previous Answers X Incorrect: Trv Again: 5 attemnts remainina

Explanation / Answer

A) Given that car's gas mileage = 21.0 mi/gal

This means,

21 mi can be completed with 1 gal.

i.e. 21 (1/0.6214) km = 33.8 km can be completed with 1 gal [ 1 km = 0.6214 mi i.e. 1 mi = 1/0.6214 km]

So,   33.8 km can be completed with 3.78 L [ 1 gal = 3.78 L ]

142 km can be completed with ? L

? = ( 142 km/ 33.8 km) x 3.78 L

= 15.88 L

Therefore,

15.88 liters of gasoline need to buy to complete 142 km trip in Europe.

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B) Given that car's gas mileage = 36.0 mi/gal

This means,  

36 mi can be completed with 1 gal.

i.e. 36 (1/0.6214) km = 57.93 km can be completed with 1 gal [ 1 km = 0.6214 mi i.e. 1 mi = 1/0.6214 km]

So, 57.93 km can be completed with 3.78 L    [ 1 gal = 3.78 L ]

103 km can be completed with ? L ( Given that travelling distance is 103 km per day)

? = ( 103 km/57.93 km) x 3.78 L

= 6.72 L

Therefore,

per day, 6.72 liters of gasoline required.

per week = 7 x 6.72 litres = 47.04 liters of gasoline required.

Given that

Cost of 1 liter gas = 1.10 euros = 1.10 x 1.26 dollars [ Given that 1 euro = 1.26 dollars]

= 1.386 dollars

Hence,

cost of 47.04 liters of gas = 47.04 x 1.386 dollars

= 65.2 dollars

Therefore,

65.2 dollars money to be spent on gas in one week .

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