SOLUTION: How many pounds of salted nuts selling at $1.60 per pound should be mixed with 2 pounds of salted nuts selling for $2.20 per pound to obtain a mixture selling for $1.72 per pound?

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Question 729079: How many pounds of salted nuts selling at $1.60 per pound should be mixed with 2 pounds of salted nuts selling for $2.20 per pound to obtain a mixture selling for $1.72 per pound?
Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
How many pounds of salted nuts selling at $1.60 per pound should be mixed with 2 pounds of salted nuts selling for $2.20 per pound to obtain a mixture selling for $1.72 per pound?
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Equation:
value + value = value
1.6x + 2.2*2 = 1.72(x+2)
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160x + 220*2 = 172x + 172*2
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12x = 48*2
x = 8 lbs. (amt. of $1.60 per pound nuts needed)
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Cheers,
Stan H.
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Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = pounds of salted nuts needed
+%28+1.6x+%2B+2.2%2A2+%29+%2F+%28+x+%2B+2+%29+=+1.72+
+1.6x+%2B+4.4+=+1.72%2A%28+x+%2B+2+%29+
+1.6x+%2B+4.4+=+1.72x+%2B+3.44+
+.12x+=+4.4+-+3.44+
+.12x+=+.96+
+x+=+8+
8 pounds of salted nuts are needed
check:
+%28+1.6%2A8+%2B+2.2%2A2+%29+%2F+%28+x+%2B+2+%29+=+1.72+
You can do the check