$1,000$ kg of orange juice, which contains $12\mathrm{.}5\%$ by weight of

solids. As a result of the filtering operation, $2$ streams are obtained; one of juice and the other of pulp, such that the juice flow is $4$ times greater than that of the pulp. The filtered juice is concentrated in a vacuum evaporator to bring it up to a concentration of $58\%$ solids. The pulp stream is derived, extracting it before entering the evaporator and mixing it with the concentrated juice in a mixer. This juice final concentrate contains $42\%$ by weight of solids; Calculate the concentration of solids in the filtered juice, the kg of final concentrated juice and the concentration of solids in the pulp that is derived.