SOLUTION: One canned juice drink is 30% orange juice; another is 5% orange juice. How many liters of each should be mixed together in order to get 25L that is 10% orange juice?

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Question 163207: One canned juice drink is 30% orange juice; another is 5% orange juice. How many liters of each should be mixed together in order to get 25L that is 10% orange juice?
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

C%5B1%5D=30% orange
C%5B2%5D=5% orange
To get 25L, C%5B1%5D%2BC%5B2%5D=25L ----------------------------> eqn 1
In eqn 1 we get,
C%5B2%5D=25-C%5B1%5D -----------------------------------------> eqn 2
Also,
0.30C%5B1%5D%2B0.05C%5B2%5D=25%280.10%29 ---------------------------> eqn 3
Subst. eqn 2 in eqn 3,
0.30C%5B1%5D%2B0.05%2825-C%5B1%5D%29=2.50
0.30C%5B1%5D%2B1.25-0.05C%5B1%5D=2.50
0.25C%5B1%5D=2.50-1.25=1.25
cross%280.25%29C%5B1%5D%2Fcross%280.25%29=cross%281.25%295L%2Fcross%280.25%29
highlight%28C%5B1%5D=5L%29, 30% orange juice
And, via eqn 2: highlight%28C%5B2%5D=25-5=20L%29, 5% orange juice
In doubt? Go back eqn3 ,
0.30%2A5%2B0.05%2A20=25%2A0.10
1.50%2B1=2.50
2.50=2.50
Thank you,
Jojo