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21 February, 04:40

While in Europe, if you drive 123 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 24.0 mi/gal? Assume that 1euro=1.26dollars. Express your answer numerically in dollars.

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  1. 21 February, 07:00
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    Distance traveled in 1 day=123 km

    In 7 days or 1 week, distance traveled will be 123*7=861 km

    Convert this distance from km to mi as follows:

    1 km=0.6213 mi

    thus,

    861 km=535.001 mi

    now, mileage of car is 24 mi/gal, volume of gas can be calculated as follows:

    V=/frac{d}{M}

    Here, M is mileage and d is distance

    V=/frac{535.001 mi}{24 mi/gal}=22.3 gal

    convert volume from gal to L:

    1 gal=3.78 L

    thus,

    22.3 gal=84.41 L

    Thus, volume of gas used in 1 week is 84.41 L

    now, cost of gas is 1.10 euros per L

    thus, cost of gas will be 92.851 euros for 84.41 L

    Since, 1 euro=1.26 dollars

    thus, 92.851 euros = approx. 117 dollars

    Thus, money spend on gas in 1 week will be $117.
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