Question 87971
a coffee merchant has coffee beans that sell for $9 per pund and &12 per pound. The two types are to be mixed to create 100LB of mixture that will sell for $11.25 per pound. How much of each type of bean should be used in the mixture?
-------------
Let amt. of $9 beans be "x" lbs; Value of this is 9x dollars
-----------
Amt of $12 beans is "100-x" lbs; Value of this is 12(100-x)=1200-12x dollars
---------------------
Amt of mixture = 100 lbs ; value of this is 11.25*100 = 1125 dollars
-----------------------
EQUATION:
value + value = value of mixture
9x + 1200-12x = 1125
-3x = -75
x = 25 lbs (Amt of $9 beans in the mixture)
100-x = 75 lbs (Amt of $12 beans in the mixture)
==========
cheers,
Stan H.