SOLUTION: a bag of peanuts is worth $0.28 less than a bag of cashews. Equal amounts of peanuts and cashews are used to make 46 bags of a mixture that sells for a $1.40 per bag. How much is a

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: a bag of peanuts is worth $0.28 less than a bag of cashews. Equal amounts of peanuts and cashews are used to make 46 bags of a mixture that sells for a $1.40 per bag. How much is a      Log On

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Question 1107442: a bag of peanuts is worth $0.28 less than a bag of cashews. Equal amounts of peanuts and cashews are used to make 46 bags of a mixture that sells for a $1.40 per bag. How much is a bag of cashews?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = the price per bag of cashews
+x+-+.28+ = the price per bag of peanuts
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Since there are equal amounts of each in
the mixture, there are +64%2F2+=+32+
bags of each
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+%28+32x+%2B+32%2A%28+x+-+.28+%29%29+%2F+64+=+1.4+
+%28+32%2F64+%29%2A%28+x+%2B+x+-+.28+%29+=+1.4+
+%281%2F2%29%2A%28+2x+-+.28+%29+=+1.4+
+2x+-+.28+=+2.8+
+2x+=+3.08+
+x+=+1.54+
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A bag of cashews is $1.54/bag
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check:
+%28+32x+%2B+32%2A%28+x+-+.28+%29%29+%2F+64+=+1.4+
+%2832%2F64%29%2A%28+2x+-+.28+%29+=+1.4+
+2x+-+.28+=+2.8+
+2%2A1.54+-+.28+=+2.8+
+3.08+-+.28+=+2.8+
+2.8+=+2.8+
OK
check the math