SOLUTION: bob wants to mix 20 pounds of peanuts worth $3 a pound with cashews worth $5 a pound to make a mixture worth $3.50 per pound. how many pounds of cashews should be added to the pean

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Question 967352: bob wants to mix 20 pounds of peanuts worth $3 a pound with cashews worth $5 a pound to make a mixture worth $3.50 per pound. how many pounds of cashews should be added to the peanuts?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = pounds of cashews added
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+%28+3%2A20+%2B+5a+%29+%2F+%28+20+%2B+a+%29+=+3.5+
+60+%2B+5a+=+3.5%2A%28+20+%2B+a+%29+
+60+%2B+5a+=+70+%2B+3.5a+
+1.5a+=+10+
+a+=+6.667+
6.667 pounds of cashews are needed
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check:
+%28+3%2A20+%2B+5a+%29+%2F+%28+20+%2B+a+%29+=+3.5+
+%28+3%2A20+%2B+5%2A6.667+%29+%2F+%28+20+%2B+6.667+%29+=+3.5+
+%28+60+%2B+33.333+%29+%2F+26.667+=+3.5+
+93.333+%2F+26.667+=+3.5+
+93.333+=+3.5%2A26.667+
+93.333+=+93.333+