SOLUTION: planters mixed nuts are up to 50% peanuts by weight. emerald is at most 40%. how many pounds of peanuts would each factory add to 1000 lbs. of other nuts?

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Question 396576: planters mixed nuts are up to 50% peanuts by weight. emerald is at most 40%. how many pounds of peanuts would each factory add to 1000 lbs. of other nuts?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Planters wants the ratio of peanuts/other nuts = 1/1
To 1000 pounds of other nuts, it adds 1000 pounds of peanuts
---------
Emerald wants 40% peanuts or 2/5 =(peanuts)/(peanuts + other nuts)
Let x = pounds of peanuts to add
2%2F5+=+x%2F%28x+%2B+1000%29
Multiply both sides by 5%2A%28x+%2B+1000%29
2%2A%28x+%2B+1000%29+=+5x
2x+%2B+2000+=+5x
3x+=+2000
x+=+666.67 pounds
check answer:
40% = 666.67+%2F+1666.67
40% = 40%
OK