Question 802167
Description is equivalent to this:


Roberta mixed U ounces of tea priced L dollars per ounce with unknown v ounces of tea priced H dollars per ounce.  The price for the mixture was T dollars per ounce.    Solve for v.


Only one starting equation is needed.
{{{highlight((LU+Hv)/(U+v)=T)}}}


Solving for v is not complicated.
{{{LU+Hv=T(U+v)}}}
{{{LU+Hv=TU+Tv}}}
{{{LU+Hv-Tv=TU}}}
{{{Hv-Tv=TU-LU}}}
{{{v(H-T)=(T-L)U}}}
{{{highlight(v=U(T-L)/(H-T))}}}


You would plug the values given correspondingly and find the value for v.