SOLUTION: can you please help me understand how to solve this problem? the nut house sells walnuts for $4.00 a pound and cashews for $7.00 a pound.how many pounds of cashews should be mixed

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Question 101739This question is from textbook algebra 1
: can you please help me understand how to solve this problem? the nut house sells walnuts for $4.00 a pound and cashews for $7.00 a pound.how many pounds of cashews should be mixed with 10 pounds of walnuts to obtain a mixture that sells for $5.50 a pound? This question is from textbook algebra 1

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
the nut house sells walnuts for $4.00 a pound and cashews for $7.00 a pound.how many pounds of cashews should be mixed with 10 pounds of walnuts to obtain a mixture that sells for $5.50 a pound?
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Let Amt of walnuts be "x" lbs; value is 4x dollars
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Amt of cashews is "10-x" lbs; value is 7(10-x)=70-7x dollars
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Amt of mixture = 10 lbs; value = 5.5*10 = 55 dollars
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EQUATION:
value + value = 55 dollars
4x + 70-7x = 55
-3x = -15
x = 5 (# of lbs of walnuts in the mixture)
10-x= 5 ($ of lbs of cashes in the mixture)
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Cheers,
Stan H.