Question 1202720
Earl Grey, expensive tea at  $5 per pound
Orange Pekoe, cheap tea at $2 per pound
Blend size to be 300 pounds, for $2.50 per pound


Something's wrong in the wording, " and there is to be no difference in revenue from selling the new blend versus selling the other types. ".

<pre>
H=5 dollar per pound
L=2 dollar per pound
M=300 pounds
T=2.5 dollars per pound
v, unknown amount of the higher priced tea


TEA     PRICE       QTY.       COST
high      H          v         Hv
low       L         M-v        L(M-v)
blend     T          M         TM
</pre>
{{{highlight_green(Hv+L(M-v)=TM)}}}


{{{Hv+LM-Lv=MT}}}
{{{(H-L)v+LM=MT}}}
{{{(H-L)v=M(T-L)}}}

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

Substitute your given values and evaluate v.



{{{v=300((2.5-2)/(5-2))}}}


{{{v=300(0.5/3)}}}

{{{v=300(1/6)}}}


{{{highlight(v=50)}}}