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24 October, 20:24

You are going to purchase $100 worth of gasoline for your boat. If gasoline is selling for $0.75/L and the density of gasoline is 0.750 kg/L, how much will the gasoline weigh?

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  1. 24 October, 23:59
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    In this problem, we need:

    (1 gallon) = (6 pounds) or 1 = (

    (1 quart) = (1/4 gallon) or (4 quarts) = (1 gallon) or 1 = (

    (16 ounces) = (1 pound) or 1 =

    We have:

    1 quart

    (1 quart) * 1

    (1 quart) * ((1 gallon) / (4 quarts))

    (1 quart) * ((1 gallon) / (4 quarts)) * ((6 pounds) / (1 gallon)) * ((16 ounces) / (1 pound))

    (1) * (1/4) * (6/1) * (16/1) ounces [note: gallons, quarts, pounds all cancel out]

    24 ounces

    Checking: If a gallon weighs 6 pounds, a quart weighs 1.5 pounds [that is, 6/4].

    That's 24 [that is, 1.5*16] ounces. Yes.
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