SOLUTION: susan wants to mix 10 pounds of virginia peanuts that costs $3.50 a pound with spanish peanuts that cost $3.00 a pound to obtain a mixture that costs $3.40 a pound. how many pounds

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Question 543533: susan wants to mix 10 pounds of virginia peanuts that costs $3.50 a pound with spanish peanuts that cost $3.00 a pound to obtain a mixture that costs $3.40 a pound. how many pounds of spanish peanuts should she use?
Found 2 solutions by josmiceli, richwmiller:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = pounds of Spanish peanuts needed
In words:
( total cost of mixture ) / ( total pounds of mixture ) = $3.40
given:
+10+%2B+x+ = total pounds of mixture
+10%2A3.5+=+35+ = cost of Virginia peanuts used
+3x+ = cost of Spanish peanuts used
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+%28+35+%2B+3x+%29+%2F+%28+10+%2B+x+%29+=+3.4+
+35+%2B+3x+=+3.4%2A%28+10+%2B+x+%29+
+35+%2B+3x+=+34+%2B+3.4x+
+.4x+=+1+
+x+=+2.5+
She needs 2.5 pounds of Spanish peanuts
check answer:
+%28+35+%2B+3x+%29+%2F+%28+10+%2B+x+%29+=+3.4+
+%28+35+%2B+3%2A2.5+%29+%2F+%28+10+%2B+2.5+%29+=+3.4+
+42.5+%2F+12.5+=+3.4+
+42.5+=+42.5+
OK

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
3.5*10+3p=3.4*(10+p)
p=2.5