SOLUTION: the manager of a store that specializes in selling tea decides to experiment with a new blend. she will mix Earl Grey tea that sells for $5 per pound with some Orange Pekoe tea tha

Question 1014807: the manager of a store that specializes in selling tea decides to experiment with a new blend. she will mix Earl Grey tea that sells for $5 per pound with some Orange Pekoe tea that sells for $3 per point to get 100 pounds of the new blend. the selling price of the new blend is to be $4.50 per pound, and there is to be no difference in revenue from selling the new blend versus selling the other types. how many pounds of Earl Grey tea and Orange Pekoe tea are required?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = pounds of Earl Grey needed
Let = pounds of Orange Pekoe needed
-------------------------------------
(1)
(2)
---------------------------
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)
----------------------

and
(1)
(1)
75 pounds of Earl Grey are needed
25 pounds of Orange Pekoe are needed
--------------------------------
check:
(2)
(2)
(2)
(2)
OK
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