SOLUTION: To make a special mix for Valentine's Day, the owner of a candy store wants to combine chocolate hearts that sell for $5 per pound with candy kisses that sell for $3.50 per pound.

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Question 396673: To make a special mix for Valentine's Day, the owner of a candy store wants to combine chocolate hearts that sell for $5 per pound with candy kisses that sell for $3.50 per pound. How many pounds of each kind should be used to get 30 pounds of a mix that can be sold for $4.50.

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Let x and (30-x) represent the amount of the $5 and $3.50/lb candies respectively

Question states***

Mixing to form 30lbs of $4.50/lb

 5x + 3.50(30-x) = 4.50*30

          1.5x = 1*30lb

             x = 1*30lb/1.5

             x = 20lb, the amount of the chocolate hearts

                 10lb of the candy kisses



CHECKING our Answer

  5*20 + 10*3.50 = 100 + 35 = 4.50*30 =