<PRE><B>Question 157671</B>
Let x=amount of cashews needed
Then 20-x=amount of peanuts needed

Now we know that the value of the nuts before they are mixed together(8x +3(20-x)) has to equal the value of the nuts after they are mixed together(6*20).  So our equation to solve is:
8x+3(20-x)=6*20  get rid of parens and simplify
8x+60-3x=120  subtract 60 from each side
8x+60-60-3x=120-60  collect like terms
5x=60  divide each side by 5
x=12 lb------------------------------amount of cashews needed

20-x=20-12=8 lb------------------------------amount of peanuts needed

CK
8*12+3*8=6*20
96+24=120
120=120

Hope this helps---ptaylor</PRE>