Question 1182079
v ml. of the 14%
270-v ml. of the 9%


{{{14v+9(270-v)=11*270}}}
-
{{{14v+9*270-9v=11*270}}}
{{{(14-9)v+9*270=11*270}}}
{{{(14-9)v=11*270-9*270}}}
{{{v=(11*270-9*270)/(14-9)}}}

{{{highlight(v=270((11-9)/(14-9)))}}}-------------simple to compute

.

.



=================================================================================================================================================================================================================================
..., mixture of two brands of Italian dressing. the first brand contains  L % vinegar, and the second brand contains H % vinegar. the chef wants to make M milliliters of a dressing that is T % vinegar. how much of each brand,...? 
=================================================================================================================================================================================================================================


v, amount of H %
M-v, amount of L %


{{{highlight_green(Hv+L(M-v)=TM)}}}, accounting for amount of pure material


{{{Hv+LM-Lv=TM}}}

{{{Hv-Lv=TM-LM}}}

{{{(H-L)v=M(T-L)}}}

{{{highlight(v=M((T-L)/(H-L)))}}}----------substitute your given or known values and evaluate; and then use to evaluate {{{M-v}}}.