Question 1168287
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mix two different brands of coffee to make 480 pounds to sell at $2.68 a pound. He uses a brand of coffee worth $2.50 a pound and another brand worth $2.80 a pound.
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L=2.5
T=2.68
H=2.8
M=480
v, unknown quantity of the H dollars per pound coffee
M-v, amount of the L dollars per pnd. coffee


{{{Hv+L(M-v)=MT}}}

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{{{Hv-Lv+ML=MT}}}

{{{(H-L)v=MT-ML}}}

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


Substituting the values given,
{{{v=480((0.68-0.5)/(0.8-0.5))}}}

{{{v=480*(0.18/0.3)}}}

{{{v=480(18/30)=highlight_green(480(3/5))}}}-----------you can finish from here.