A distributor wants to make 1000 pounds of trail mix that is 8% raisins. he will use a mi that is 5% raisins and a mix that is 20% raisins. how many pounds of each should he use?

Step-by-step explanation:

Let x represent the number of pounds of 20% raisin mix the distributor should use. Then 1000-x is the number of pounds of 5% mix, and the total number of pounds of raisins in the desired mix is ...

  0.20x +0.05(1000 -x) = 0.08(1000
  0.15x +50 = 80 . . . . . simplify

  0.15x = 30 . . . . . . . . subtract 50

  x = 200 . . . . . . . . . . divide by 0.15; amount of 20% mix

  1000 -x = 800 . . . . . amount of 5% mix

The distributor should use 200 pounds of 20% raisins and 800 pounds of 5% raisins.

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