SOLUTION: A merchant blends tea that sells for $5.00 a pound with tea that sells for $2.50 a pound to produce 50 lb of a mixture that sells for $3.00 a pound. How many pounds of each type of

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Question 406743: A merchant blends tea that sells for $5.00 a pound with tea that sells for $2.50 a pound to produce 50 lb of a mixture that sells for $3.00 a pound. How many pounds of each type of tea does the merchant use in the blend?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

produce 50 lb of a mixture

Let x and (50-x)represent the amount of the 5$ and $2.50 mixtures respectively 

Question states*** Mixing

 5x + 2.50(50-x) =3*50

Solving for x

     2.50x = .50*50

         x = .50*50/2.50

         x = 10lb, the amount of the $5/lb tea.  40lb of $2.50/lb tea.

CHECKING our Answer***

 50 + 100 = 150