Question

the density of a certain material is such that it weighs 1 pound per fluid ounce of volume. express this density in tons per liter. round your answer to the nearest hundredth.
*note: you must use these exact conversion factors to get this question right.

weight / mass	volume
1 ton (ton) = 2000 pounds (lb)	1 pint (pt) = 2 cups (cups)
1 gram (g) = 1000 milligrams (mg)	1 quart (qt) = 2 pints (pt)
1 kilogram (kg) = 1000 grams (g)	1 gallon (gal) = 4 quarts (qt)
1 ounce (oz) = 28.35 grams (g)	1 cubic foot (ft³) = 7.481 gallons (gal)
1 pound (lb) = 0.454 kilograms (kg)	1 liter (l) = 1000 milliliters (ml)
	1 cubic meter (m³) = 1000 liters (l)
	1 gallon (gal) = 3.785 liters (l)

Explanation:

Step1: Convert pounds to tons

We know that 1 ton = 2000 pounds. So if we have 1 pound, then in tons, it is $\frac{1}{2000}$ tons.

Step2: Convert fluid - ounces to liters

We know that 1 cup = 8 fluid ounces, 1 pint = 2 cups, 1 quart = 2 pints, 1 gallon = 4 quarts and 1 gallon = 3.785 liters.
First, 1 fluid ounce is $\frac{1}{8}$ cup. Then, since 1 pint = 2 cups, 1 fluid ounce is $\frac{1}{8\times2}$ pints. Since 1 quart = 2 pints, 1 fluid ounce is $\frac{1}{8\times2\times2}$ quarts. Since 1 gallon = 4 quarts, 1 fluid ounce is $\frac{1}{8\times2\times2\times4}$ gallons. And since 1 gallon = 3.785 liters, 1 fluid ounce is $\frac{3.785}{8\times2\times2\times4}$ liters.
$\frac{3.785}{8\times2\times2\times4}=\frac{3.785}{128}\approx0.02957$ liters.

Step3: Calculate the density in tons per liter

The density is 1 pound per fluid - ounce. Converting to tons per liter, we divide the mass in tons by the volume in liters.
Density $=\frac{\frac{1}{2000}}{\frac{3.785}{128}}=\frac{128}{2000\times3.785}=\frac{128}{7570}\approx0.02$ tons per liter.

Answer:

0.02