SOLUTION: One canned juice drink is 20% orange juice; another is 10% orange juice. How many liters of each should be mixed together in order to get 10L that is 15% orange juice? How many

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: One canned juice drink is 20% orange juice; another is 10% orange juice. How many liters of each should be mixed together in order to get 10L that is 15% orange juice? How many       Log On


   



Question 885396: One canned juice drink is 20% orange juice; another is 10% orange juice. How many liters of each should be mixed together in order to get 10L that is 15% orange juice?
How many liters of the 20% orange juice should be in the mixture?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = liters of 20% juice drink needed
Let +b+ = liters of 10% juice drink needed
+.2a+ = liters of juice in 20% juice drink
+.1b+ = liters of juice in 10% juice drink
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(1) +a+%2B+b+=+10+
(2) +%28+.2a+%2B+.1b+%29+%2F+10+=+.15+
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(2) +.2a+%2B+.1b+=+1.5+
(2) +2a+%2B+b+=+15+
Subtract (1) from (2)
(2) +2a+%2B+b+=+15+
(1) +-a+-+b+=+-10+
+a+=+5+
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and
(1) +a+%2B+b+=+10+
(1) +5+%2B+b+=+10+
(1) +b+=+5+
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5 liters of 20% juice drink are needed
5 liters of 10% juice drink are needed
check:
(2) +%28+.2a+%2B+.1b+%29+%2F+10+=+.15+
(2) +%28+.2%2A5+%2B+.1%2A5+%29+%2F+10+=+.15+
(2) +%28+1+%2B+.5+%29+%2F+10+=+.15+
(2) +1.5+=+1.5+
OK