A mixture of solids and water $($Fresh Feed $=$ Stream $1)$ is

concentrated by evaporating off some of the water via heating in

an evaporator unit. Two streams leave the evaporator $-$ a pure

water vapor stream $($Evap $=$ Stream $2)$ and a highly concentrated

solids and water mixture $($High Conc $=$ Stream $3).$ For product

quality reasons, some of the fresh feed to the system bypasses

the evaporator $($Bypass $=$ Stream $4)$ and is mixed with the highly

concentrated stream leaving the evaporator to create the final

"concentrate" effluent product $($Product $=$ Stream $5).$ The stream

entering the evaporator after the bypass has been split off is the

Evaporator Feed $=$ Stream $6.$ To enrich the feed from $10\mathrm{.}5\%$ solids to $56\%$ solids in the stream

leaving the evaporator $($Stream $3)$ and ultimately to $32\%$ solids in

the final product stream $($Stream $5),$ what fraction of the fresh

feed should be diverted through the bypass stream? Answer as a

fraction, not as a $\%.$