A waste characterization study was conducted at a local grocery store.

Raw data from this study are summarized in the table below.

Determine the following from the information provided:

$($a$)$ Original composition $(\%$ by weight; wet$)(5$ pts$)$

$($b$)$ Chemical composition of the waste, without water normalized by nitrogen $($i$.$e$.$ without sulfur$)(10$ pts$)$

$\backslash$table$[[$Component$,$Dry Weight $($lb$),$Moisture Content $(\%$ by weight$)],[$Food waste,$50,65],[$Paper$,45,15],[$Yard waste,$20,10],[$Plastics$,15,2]]$