Question

the density of a certain material is such that it weighs y ounces for every g pints of volume. express the density in pounds per quart. round your answer to the nearest whole number.
*note: you must use these exact conversion factors to get this question right.
weight / mass volume
1 pound (lb) = 16 ounces (oz) 1 cup (c) = 8 fluid ounces (fl oz)
1 ton (t) = 2000 pounds (lb) 1 pint (pt) = 2 cups (c)
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 barrel (bbl) = 42 gallons (gal)
1 pound (lb) = 0.4536 kilograms (kg) 1 bushel (bu) = 2150.42 cubic inches (in³)
1 short ton (t) = 2000 pounds (lb)
1 gallon (gal) = 3.785 liters (l)
1 fluid ounce (fl oz) = 29.5735 milliliters (ml)

Explanation:

Step1: Recall the volume - conversion relationship

We know that 1 quart = 2 pints.

Step2: Calculate the density in ounces per quart

The density is given as $y$ ounces per $g$ pints. Let $d$ be the density in ounces per quart.
If the density is $\frac{y}{g}$ ounces per pint, and since 1 quart = 2 pints, then $d=\frac{2y}{g}$ ounces per quart.

Answer:

$\frac{2y}{g}$