SOLUTION: How many lbs. of peanuts must Daniel add to 8 lbs. of mixed nuts containing 40% peanuts to make a mixture with 68% peanuts?

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Question 945009: How many lbs. of peanuts must Daniel add to 8 lbs. of mixed nuts containing 40% peanuts to make a mixture with 68% peanuts?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
8 lbs of mix with 40% peanuts contains 60% other nuts or 4.8 pounds of other nuts
A mix of 68% peanuts would contain 32 % other nuts, and 4.8 lbs is 32% of
4.8/0.32=15 lbs So to make 15 lbs from 8 lbs we would add 7 more pounds of peanuts.ANSWER Daniel should add 7 lbs of peanuts to adjust the mixed nuts to 68% peanuts.
CHECK
The 8 lbs contains 3.2 lbs peanuts, 7 lbs peanuts added for a total of 10.2 lbs of peanuts in 15 lbs of mixed nuts. For 68% of 15 lbs we need:.068(15)=10.2 lbs which is exactly what we have.