SOLUTION: a tea shop sells grea tea for $4.00 a pound and a white tea for $2.75 per pound. the manager decides to combine the two types of teas to make a mix that sells for $3.50 per pound.

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Question 186265: a tea shop sells grea tea for $4.00 a pound and a white tea for $2.75 per pound. the manager decides to combine the two types of teas to make a mix that sells for $3.50 per pound. the mis should not cause any change in revenue. how much of each tea should combine to make a 10 pound mixture
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let g= pounds of green tea needed
Let w= pounds of white tea needed
given:
(1) g+%2B+w+=+10 lb
4g+%2B+2.75w+=+3.5%2A10 dollars
(2) 4g+%2B+2.75w+=+35
Multiply both sides of (1) by 4 and
subtract (2) from (1)
(1) 4g+%2B+4w+=+40
(2) -4g+-+2.75w+=+-35
(3) 1.25w+=+5
(3) w+=+4
and
(1) g+%2B+w+=+10
(1) g+%2B+4+=+10
(1) g+=+6
4 pounds of white tea and 6 pounds of green tea are needed