(Solved): Following is a diagram of the shirt-cleaning process used by the Floods of Suds One-Day Laundry Ser ...

Following is a diagram of the shirt-cleaning process used by the Floods of Suds One-Day Laundry Services, Inc. The shirts are soaked in an agitated tub containing Whizzo, the Wonder Detergent, and are then wrung out and sent to a rinse stage. The dirty Whizzo is sent to a filter in which most of the dirt is removed, and the cleaned detergent is recycled back to join a stream of pure Whizzo, with the combined stream serving as the feed to the washtub. Data: 1. Each $100{\mathrm{lb}}_{\mathrm{m}}$ of dirty shirts contains $2.0{\mathrm{lb}}_{\mathrm{m}}$ of dirt. 2. The washing removes $95\%$ of the dirt in the dirty shirts. 3. For each $100{\mathrm{lb}}_{\mathrm{m}}$ of dirty shirts, $25{\mathrm{lb}}_{\mathrm{m}}$ of Whizzo leaves with the clean shirts, of which $22{\mathrm{lb}}_{\mathrm{m}}$ is wrung back into the tub. 4. The detergent that enters the tub contains $97\%$ Whizzo, and that which enters the filter contains $87\%$. The wet dirt that leaves the filter contains $8.0\%$ Whizzo. (a) How much pure Whizzo must be supplied per $100{\mathrm{lb}}_{\mathrm{m}}$ of dirty shirts? (b) What is the composition of the recycled stream?