SOLUTION: One canned juice drink is 25% orange juice, another one is 5% orange Juice. How many liters of each should be mixed together to get 20L that is 10% orange juice.

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Question 1062868: One canned juice drink is 25% orange juice, another one is 5% orange Juice. How many liters of each should be mixed together to get 20L that is 10% orange juice.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = liters of 25% OJ needed
Let +b+ = liters of 5% OJ needed
+.25a+ = liters of OJ in the 25% juice
+.05b+ = liters of OJ in the 5% juice
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(1) +a+%2B+b+=+20+
(2) +%28+.25a+%2B+.05b+%29+%2F+20+=+.1+
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(2) +.25a+%2B+.05b+=+2+
(2) +25a+%2B+5b+=+200+
(2) +5a+%2B+b+=+40+
Subtract (1) from (2)
(2) +5a+%2B+b+=+40+
(1) +-a+-+b+=+-20+
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+4a+=+20+
+a+=+5+
and
(1) +a+%2B+b+=+20+
(1) +5+%2B+b+=+20+
(1) +b+=+15+
------------------------
5 liters of 25% OJ is needed
15 liters of 5% OJ is needed
------------------------------
check:
(2) +%28+.25a+%2B+.05b+%29+%2F+20+=+.1+
(2) +%28+.25%2A5+%2B+.05%2A15+%29+%2F+20+=+.1+
(2) +%28+1.25+%2B+.75+%29+%2F+20+=+.1+
(2) +2+=+.1%2A20+
(2) +2+=+2+
OK