<PRE><B>Question 143340</B>
Let x=Amount of Brand A
Then 21-x=Amount of Brand B

Amount of peanuts in Brand A and B before the mixture takes place has to equal the amount of peanuts in the final mixture, so our equation to solve is:

0.35x+0.25(21-x)=21*0.29  get rid of parens (distributive law)
0.35x+5.25-0.25x=6.09  subtract 5.25 from each side

0.35x+5.25-5.25-0.25x=6.09-5.25  collect like terms

0.10x=0.84  divide each side by 0.10
x=8.4 oz---------------------------------Amount of Brand A needed
21-x=21-8.4=12.6-----------------------------Amount of Brand B needed

CK
8.4*0.35+12.6*0.25=21*0.29
2.94+3.15=6.09
6.09=6.09

Hope this helps---ptaylor















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