SOLUTION: A grocer has two kinds of loose tea. One is worth $5 per pound and the other is worth $7 per pound. She mixes some of each kind of tea together to get a total of 50 pounds of a

Question 732008: A grocer has two kinds of loose tea. One is worth $5 per pound and the other is worth $7 per pound.
She mixes some of each kind of tea together to get a total of 50 pounds of a mixed tea worth a total of $314.00.
Let
x = number of pounds of $5/pound tea in the mixture
y = number of pounds of $7/pound tea in the mixture
Use a system of equations that describes this situation to figure out how much of each kind of tea is in the mixture.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
x = number of pounds of $5/pound tea in the mixture
y = number of pounds of $7/pound tea in the mixture
------------
(1)
(2)
--------------------
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)

and, since
(1)
(1)
18 pounds of $5/pound tea are needed
32 pounds of $7/pound tea are needed

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