SOLUTION: A bag of peanuts is worth $0.26 less than a bag of cashews. Equal amounts of peanuts and cashews are used to make 38 bags of a mixture that sells for $1.30 per bag. How much is a b

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: A bag of peanuts is worth $0.26 less than a bag of cashews. Equal amounts of peanuts and cashews are used to make 38 bags of a mixture that sells for $1.30 per bag. How much is a b      Log On

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Question 1067541: A bag of peanuts is worth $0.26 less than a bag of cashews. Equal amounts of peanuts and cashews are used to make 38 bags of a mixture that sells for $1.30 per bag. How much is a bag of cashews worth?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = cost in dollars of a bag of cashews
+x+-+.26+ = cost in dollars of a bag of peanuts
+38%2F2+=+19+ = bags of peanuts needed
+19+ = bags of cashews needed also
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+%28+19x+%2B+19%2A%28+x+-+.26+%29%29+%2F+38+=+1.3+
+%28+19x+%2B+19x+-+4.94+%29+%2F+38+=+1.3+
+%28+38x+-+4.94+%29+%2F+38+=+1.3+
+38x+-+4.94+=+1.3%2A38+
+38x+=+49.4+%2B+4.94+
+38x+=+54.34+
+x+=+1.43+
and
+x+-+.26+=+1.43+-+.26+
+x+-+.26+=+1.17+
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$1.43 = cost in dollars of a bag of cashews
$1.17 = cost in dollars of a bag of peanuts
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check:
+%28+19x+%2B+19%2A%28+x+-+.26+%29%29+%2F+38+=+1.3+
+%28+19%2A1.43+%2B+19%2A1.17%29+%2F+38+=+1.3+
+%28+27.17+%2B+22.23+%29+%2F+38+=+1.3+
+49.4%2F38+=+1.3+
+49.4+=+1.3%2A38+
+49.4+=+49.4+
OK