SOLUTION: A Jasmine tea sells for $7.00 per pound, and a Chamomile tea sells for $5.50 per pound. How many pounds of each tea are needed to create 10 pounds of a mixture that sells for $6.40

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A Jasmine tea sells for $7.00 per pound, and a Chamomile tea sells for $5.50 per pound. How many pounds of each tea are needed to create 10 pounds of a mixture that sells for $6.40      Log On


   

Question 1025905: A Jasmine tea sells for $7.00 per pound, and a Chamomile tea sells for $5.50 per pound. How many pounds of each tea are needed to create 10 pounds of a mixture that sells for $6.40 per pound?
Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
J+C = 10 subtract C from both sides:
J = 10-C We will use this value for J next.
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7J+5.50C = 6.40(10) Substitute for J and multiply on right
7(10-C)+5.50C = 64
70-7C+5.50C = 64 Subtract 70 on both sides and add C on left
-1.50C = -6 Divide both sides by 1.50 and remember that -/- = +
C = 4
and
J = 10-4 = 6
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Check:
4*5.50 = 22
6*7 .. = 42
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Total: . 64 and 64/10 = 6.40 Correct.