The following figure shows an example of physically separating a recycle stream from a

product. The process vessel in this case is making iron powder from input ingot by a

process called atomization, which generated particles in a variety of sizes. Metal powder

customers usually specify a narrower particle size range than the atomizer produces, so

the process includes two screens, one to separate out the oversize material and a second

that only allows undersize particles to pass through. The powder that doesn't pass

through the second screen is what gets shipped to customers. The oversize and under$-$size

powder streams are mixed together and fed back into the powdermaking unit.

One hundred twenty tons per day of "fresh" iron are fed to the powdermaking unit shown

in the figure. Ten percent of the powder product fails to pass through the first screen;

$26\%$ of the powder fed to the second screen passes through it$.$ If both the oversize and

undersize powder is recycled, what percent of the feed to the powdermaking unit consists

of recycled material?