<PRE><B>Question 184833</B>
Coffee that sells for $3.40 per pound is mixed with coffee that sells for
 $4.50 per pound in order to create 6 pounds of a blend that sells for $4.06
 per pound. How much of each was used to create the new mixture?
:
Let x = amt of $4.50/lb coffee
:
we are told that the total amt resulting from mixing these two quantities is 6 lb, therefore:
(6-x) = amt of $3.40/lb coffee
:
A typical mixture equation:
4.5x + 3.4(6-x) = 4.06(6)
:
4.5x + 20.4 - 3.4x = 24.36
:
4.5x - 3.4x = 24.36 - 20.4
;
1.1x = 3.96
x = {{{3.96/1.1}}}
x = 3.6 lb of $4.50/lb coffee
and
6 - 3.6 = 2.4 lb of $3.40/lb coffee
:
:
Check the math in the original equation:
4.5(3.6) + 3.4(2.4) = 4.06(6)
16.2 + 18.16 = 24.36; equality reigns, a good solution</PRE>