SOLUTION: how many pounds each of a $3.50 blend of nuts and a $5.00 blend of nuts is mixed to get 10 pounds of a $4.00 blend of nuts?

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Question 566317: how many pounds each of a $3.50 blend of nuts and a $5.00 blend of nuts is mixed to get 10 pounds of a $4.00 blend of nuts?
Answer by ad_alta(240) About Me  (Show Source):
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Let 'c' be the number of pounds of cheaper nuts and 'e' the number of pounds of expensive nuts. Then we have the equations c+e=10 and (3.5*c+5*e)/(c+e)=4. Substitute c+e=10 and c=10-e into the second equation to get (3.5*(10-e)+5*e)/(10)=4. Solving, we get e=3.33 and c=6.67.