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?

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) (Show Source): You can put this solution on YOUR website!
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.
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