Question

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?

Answer 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.