Problem $3[10$ points$]$: Oil flows into the mixing tank through pipe A at $0\mathrm{.}03\frac{m^3}{s}$ and glycerin flows into the tank through pipe B at $0\mathrm{.}01\frac{m^3}{s}.$ Determine the average density of the two fluids as the mixture flows out from the tank through the exit pipe at C $.$ Assume uniform mixing of the fluids occurs within the $5-m^3$ tank$.$ Use density of oil and glycerin as $880k\frac{g}{m^3}$ and $1260k\frac{g}{m^3}$ respectively. $[$Note: use the original conservation of mass equation: mass rate in $=$ mass rate out $($or$)]$