SOLUTION: One canned juice drink is 25% orange juice;another is 10% orange juice. How many liters of each should be mixed together in order to get 15 liters that is 13% orange juice?

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Question 452445: One canned juice drink is 25% orange juice;another is 10% orange juice. How many liters of each should be mixed together in order to get 15 liters that is 13% orange juice?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let a = liters of 25% juice needed
Let b = liters of 10% juice needed
given:
OJ in 25% juice: +.25a+
OJ in 10% juice: +.1b+
----------------------
(1) +a+%2B+b+=+15+
(2) +%28+.25a+%2B+.1b+%29+%2F+15+=+.13+
----------------------
(2) +.25a+%2B+.1b+=+1.95+
(2) +25a+%2B+10b+=+195+
Multiply both sides of (1) by +10+ and
subtract (1) from (2)
(2) +25a+%2B+10b+=+195+
(1) +-10a+-+10b+=+-150+
+15a+=+45+
+a+=+3+
and
(1) +3+%2B+b+=+15+
+b+=+12+
3 liters of 25% juice are needed
12 liters of 10% juice are needed
check:
(2) +%28+.25a+%2B+.1b+%29+%2F+15+=+.13+
(2) +%28+.25%2A3+%2B+.1%2A12+%29+%2F+15+=+.13+
(2) +%28+.75+%2B+1.2+%29+%2F+15+=+.13+
(2) +1.95+%2F+15+=+.13+
(2) +1.95+=+1.95+
OK