A concentrated juice is being diluted in a two-stage process. The first stage is blending juice concentrate with 40% product solids with water to create a stream of juice with 5% product solids. The second stage uses the stream with 5% product solids blended with 100 kg/min of concentrate with 40% product solids to produce the final juice at 500 kg/min. Determine the total product solids content (%) of the final product and the flow rate (kg/min) needed in the first stage.