SOLUTION: One canned juice drink is 25% orange juice; another is 5% orange juice. How man liters of each should be mixed together in order to get 20L that is 21% orange juice? How many li

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Question 1078955: One canned juice drink is 25% orange juice; another is 5% orange juice. How man liters of each should be mixed together in order to get 20L that is 21% orange juice?
How many liters of the 25% orange juice should me in the mixture?
Found 3 solutions by stanbon, jorel1380, ikleyn:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
One canned juice drink is 25% orange juice; another is 5% orange juice. How man liters of each should be mixed together in order to get 20L that is 21% orange juice?
How many liters of the 25% orange juice should me in the mixture?
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orange + orange = orange
0.25x + 0.05(20-x) = 0.21*20
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25x + 5*20 - 5x = 21*20
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20x = 16*20
x = 16L (amt. of 25% mix to use)
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Cheers,
Stan H.
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Answer by jorel1380(3719)   (Show Source): You can put this solution on YOUR website!
Let n and 20-n be the amounts of 25% o.j. and 5% o.j., respectively. Then
.25n+0.05(20-n)=0.21(20)
0.2n+1=4.2
0.2n=3.2
n=16
You need 16L of 25% juice, and 4L of 5% juice. ☺☺☺☺
Answer by ikleyn(52782)   (Show Source): You can put this solution on YOUR website!
.
Let x be the amount (the volume, in liters) of the 25% orange juice to mix.


Then the required volume of the 5% orange juice is (20-x) liters.


The amount of the pure orange juice in the mixture is 

0.25x + 0.05(20-x)

(motice that 0.25 is 25%  and 0.05 is 5%).


This amount of the orange juice must be equal to 0.21*20 = 4.2 liters, as the condition requires.

So, you get this equation

0.25x + 0.05*(20-x) = 4.2.


Simplify and solve for x:

0.25x + 1.0 - 0.05x = 4.2,

0.2x = 4.2 - 1.0,

0.2x = 3.2

x =  = 16.


Answer.  16 liters of the 25% juice and 20-16 = 4 liters of the 5% juice must be mixed.

Check.   0.25*16 + 0.05*4 = 4 + 0.2 = 4.2 liters of the pure juice.

         Then the percentage of the pure juice in 20 liters of liquid is  = 0.21 = 21%. Correct !!


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