Question 1116078
A solution all in variables and using only ONE unknown variable can be like this:


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A Chemist needs M milliliters of a T% solution but has only L% and H% solutions available. Find how many milliliters of each that should be mixed to get the desired solution.
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x, quantity of L% material
M, quantity of finished mixture
L, low percent materialconcentration
H, high percent material concentration
T, target percent mixture concentration


Equation to account for the amount of dissolved material in the mixture:
{{{highlight_green(Lx+H(M-x)=TM)}}}
Solve for x.


Doing the steps to find x, and the fact that {{{H>L}}} and {{{H>T}}}, the solution will be {{{highlight(x=(HM-TM)/(H-L))}}}.