Mathematics

Question

A gallon of unleaded gasoline weighs about 6 pounds. About how many ounces does 1 quart of unleaded gasoline weigh?

2 Answer

  • To change units without changing the value, we use the Multiplicative Identity (that is, 1).

    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.
  • there is 32 ounces in 1 quart so therefore gasoline weighs 32 ounces. 

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