Question 1128546
Sarah Meeham blends coffee for​ Tasti-Delight. She needs to prepare M pounds of blended coffee beans selling for ​$T per pound. She plans to do this by blending together a​ high-quality bean costing ​$H per pound and a cheaper bean at ​$L per pound. 
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x, pounds at the higher price ingredient
M-x, pounds of the lower price ingredient


{{{highlight_green(Hx+L(M-x)=TM)}}}

-

{{{Hx+LM-Lx=TM}}}

{{{Hx-Lx=TM-LM}}}

{{{(H-L)x=TM-LM}}}

{{{highlight_green(x=(TM-LM)/(H-L))}}}



Substitute for whatever given values of T, H, L, M you have.