ans is $1/3$A$,\mathrm{.}2667$B$,\mathrm{.}4$C mol frac in the feed, prove why please

$(25$ Pts$)$ I have a reaction which occurs at steady state. All of the reactants and products are in the gas

phase, EXCEPT for the product $M,$ which is a solid. The Feed stream entering the reactor has A$,$ B$,$ and

$C$ in it$,$ but the composition of the stream is unknown. The reaction occurs according to the balanced

equation shown below

$2A+2B+1C=>15M+1Z+2Y$

SOLID

All of the gases leave the reactor in one stream, and the solid $M$ leaves in a separate stream.

The flowrate of the solid $M$ leaving the reactor is $125\%$ of the total flowrate of the feed.

The composition of the outlet gas stream is known for a couple of components. The mole fraction of B in this

stream is $\frac{3}{25}$ and the mole fraction of $C$ in this stream is $\frac{19}{50}.$

Find the fractional conversion of $A,$ and the composition of the feed stream.

To get FULL CREDIT on this problem, you will need to set up a system equations. If you CLEARLY express

an appropriate number of equations and unknowns, that can be used to solve the problem, you will receive full

credit.

BONUS POINTS $(5$ pts$)$ will be awarded if you show the algebra required to solve the system of equations.