Problem $05\mathrm{.}166$E $-$ Mixing process

Steam at $80$ psia and $400$ F is mixed with water at $60F$ and $80$ psia steadily in an adiabatic device Steam enters the device at a rate of $0\mathrm{.}05lb\frac{m}{s},$ while the water enters at $1lb\frac{m}{s}.$ Determine the temperature of the mixture leaving this device when the outlet pressure is $88\mathrm{.}0$ psia.

The temperature of the mixture is $F.$