Density is a value for mass, such as kg, divided by a value for volume, such as m3. Density is a physical property of a substance that represents the mass of that substance per unit volume. We calculate the density using the equation
Density = mass / volume
The units asked for the density would be pennyweights per peck. The conversion factors are as follows:
1 pennyweight (pw) = 1.55 grams
1 hogshead (hh) = 238.5 liters
1 peck = 9.091 liters
We calculate as follows:
mass = 54.424 kg ( 1000 g / 1kg ) ( 1 pennyweight / 1.55 g ) = 35112.26 pennyweight
volume = 0.250 hogsheads ( 238.5 L / 1 hogshead ) ( 1 peck / 9.091 L ) = 6.56 peck
Density = 35112.26 pennyweight / 6.56 peck = 5353.55 pw / peck