Question 1140981
AVAILABLE
70% pure fruitjuice
95% pure fruitjuice


WANT RESULT
70 pints of 75% fruitjuice


Find HOW MUCH OF EACH?


ASSIGN VARIABLES
L, 70%
H, 95%
T, 75%
M, 70 pints
u, how much of 70%
v, how much of 95%


ONE OR TWO EQUATIONS
{{{system(u+v=M,uL+vH=TM)}}}


For a single equation in the unknown variable v,
{{{uL+Hv=TM}}}
{{{highlight_green(L(M-v)+Hv=TM)}}}

{{{LM-Lv+Hv=TM}}}
{{{Hv-Lv=TM-LM}}}
{{{v(H-L)=TM-LM}}}

{{{highlight(v=(TM-LM)/(H-L))}}}-------substitute the given known values and evaluate v.  Substitute in other material sum equation to evaluate u.