As part of the process of producing sugar crystals from sugar cane, raw

sugar cane juice is sent to a series of three evaporators to remove water.

The sugar cane juice, which is $85$ wt$\%$ water, is fed to the first evaporator

at $10,000$ lb$/$h$.$ Equal amounts of water are removed in each evaporator.

The concentrated juice out of the last evaporator is $40$ wt$\%$ water.

Calculate:

$($a$)$

The flow rate of the concentrated juice out of the last evaporator

$($b$)$ The flow rate of water removed in each evaporator

$($c$)$

The wt$\%$ water in the juice fed to the second evaporator