SOLUTION: A merchant blends tea that sells for $3.00 a pound with tea that sells for $2.75 a pound to produce 80 pound of a mixture that sells for $2.90 a pound. How many pounds of each type
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Question 321154: A merchant blends tea that sells for $3.00 a pound with tea that sells for $2.75 a pound to produce 80 pound of a mixture that sells for $2.90 a pound. How many pounds of each type of tea does the merchant use in the blend. Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! = pounds of $3/lb tea = pounds of $2.75/lb tea
given:
(1)
---------
(2)
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)
and, since
The merchant needs 48 pounds of $3/lb tea and
32 pounds of $2.75/lb tea
