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

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Question 1119377: 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
14​% orange​ juice?
Found 3 solutions by Alan3354, josgarithmetic, ikleyn:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Mixture problem.
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Look up the solved problems.
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
LESSON: two-part mixture, https://www.algebra.com/my/Mixtures%3A-All-in-Symbols.lesson?content_action=show_dev
https://www.algebra.com/my/Mixtures%3A-All-in-Symbols.lesson?content_action=show_dev
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
Let x = volume of the 20% orange juice (in liters) to be mixed.

Then the volume of the 10% orange juice is (10-x) liters.


The equation is 

    pure orange juice + pure orange juice = total pure orange juice


    0.2x              + 0.1*(10-x)        = 0.14*10    liters,

    0.2x + 1 - 0.1x = 1.4

    0.2x - 0.1x = 1.4 - 1

    0.1x = 0.4  ====>  x =  = 4.


Answer.  4 liters of the 20% and (10-4) = 6 liters of the 10% orange juice should ba mixed.


Check.   0.2*4 + 0.1*6 = 1.4 liters of the pure orange juice.

                0.14*10       =  1.4 liters of the pure orange juice.   ! Correct !

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It is a standard and typical mixture problem.

For introductory lessons covering various types of mixture word problems see
    - Mixture problems
    - More Mixture problems
    - Solving typical word problems on mixtures for solutions
    - Typical word problems on mixtures from the archive
in this site.

You will find there ALL TYPICAL mixture problems with different methods of solutions,
explained at different levels of detalization,  from very detailed to very short.

Read them and become an expert in solution mixture word problems.

Also,  you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this textbook in the section "Word problems" under the topic "Mixture problems".


Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.


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