SOLUTION: Silvia wants to mix 40% apple juice drink with pure apple juice to make 2 L of a juice drink that is 80% apple juice. How much pure apple juice should she use? Express answer as a

Question 1126635: Silvia wants to mix 40% apple juice drink with pure apple juice to make 2 L of a juice drink that is 80% apple juice. How much pure apple juice should she use? Express answer as a mixed number or fraction in simplest terms, if necessary.
Answer by ikleyn(52787) (Show Source): You can put this solution on YOUR website!
.

Let x be "How much pure apple juice should she use", in liters.


Then the volume of the 40% juice to mix is (2-x) liters.


Then your concentration equation is


     = 0.8,


saying that the ratio of the pure apple juice to the total volume of 2 liters is 0.8 = 80%.


Solve it step by step:


    0.4*(2-x) + x = 0.8*2

    0.8 - 0.4x + x = 1.6

    0.6x = 1.6 - 0.8

    0.6x = 0.8  ====>  x =  =  =  =  liters   ANSWER


Check.    = 0.8.    ! Exactly 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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