Question 1112071
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Here is a non-traditional approach to the problem.  Perhaps another tutor will see your question and my response and show you a more traditional method.<br>
The mixture is to be 15 pounds worth $4.20 per pound, so the total value of the mixture is 15*$4.20 = $63.<br>
The raisins are 3 pounds worth $6 per pound, so the value of the raisins is 3*$6 = $18.  That means the other 12 pounds of peanuts and candies are worth $63-$18 = $45.<br>
12 pounds worth $45 means $45/12 = $3.75 per pound.<br>
Since $3.75 is "3 times as close" to $4 as it is to $3, there need to be 3 times as many candies at $4 per pound as there are peanuts at $3 per pound.<br>
12 pounds of peanuts and candies, with three times as many pounds of candies as peanuts, means 9 pounds of candies and 3 pounds of peanuts.<br>
ANSWER:  3 pounds of peanuts.