SOLUTION: i need help solving system of linear equations and inequalities the word problems. Here is the problem..... The manager of a gourmet coffee and tea store is mixing two green teas,
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Question 717257: i need help solving system of linear equations and inequalities the word problems. Here is the problem..... The manager of a gourmet coffee and tea store is mixing two green teas, one worth $7 per pound and the other worth $9 per pound. He wants to obtain 32 pounds of tea worth 8.50 per pound. How much of each tea should he use? Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! Let = pounds of $7/lb tea needed
Let = pounds of $9/lb tea needed = cost of $7/lb tea used = cost of $9/lb tea used
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(1)
(2)
--------------------------
(2)
(2)
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)
and, since
(1)
(1)
8 pounds of $7/lb tea are needed
24 pounds of $9/lb tea are needed
check answer:
(2)
(2)
(2)
(2)
OK
