How to calculate density from specific weight in imperial units

[subopolois]

Homework Statement

alright so i have to find the density of a clay unit. I am given a specific weight of the clay as 120 b/ft^3, the gravity constant as 32.17 ft/s^2. i need to find the density of the clay, i have no problem arranging the equation below to solve for density but I am not used to working in imperial units and I am not allowed to switch to metric. I've attempted it below and just wondering if i did it correctly

Homework Equations

specific weight= gravity x density

The Attempt at a Solution

density= specific weight/gravity
= 120 lb/ft^3/32.17 ft/s^2
= 3.73 lb/ ft^2 s^2

so are my units correct?

 

[ideasrule]

No, your units aren't correct. Check your work.

 

[subopolois]

No, your units aren't correct. Check your work.

could you give me a hint?
to me it seems correct, I am dividing lb/ft^3 by ft/s^2. so the only thing that would cancel is the ft in the numerator and denomanator.

i understand that in metric it kg/m^3, but I've never used imperial. would it be lb/ft^3? how would the units cancel out?