SOLUTION: If Drink A contains 21% juice concentrate and Drink B contains 36% juice concentrate. How much of each solution should be mixed in order to create 125 milliliters of a solution tha

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: If Drink A contains 21% juice concentrate and Drink B contains 36% juice concentrate. How much of each solution should be mixed in order to create 125 milliliters of a solution tha      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1118927: If Drink A contains 21% juice concentrate and Drink B contains 36% juice concentrate. How much of each solution should be mixed in order to create 125 milliliters of a solution that contains 33% juice concentrate?
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
In form of two equations it is

        x +     y = 125            (1)     (milliliters; total volume)
    0.21x + 0.36y = 0.33*125       (2)     (x= volume of the drink A;  y = volume of the drink B).


    Solve by any method.


or in form of ONE equation

    0.21x + 0.36*(125-x) = 0.33*125.


    Simplify and solve this single equation for single unknown.


    0.21x + 0.36*125 - 0.36x = 0.33*125

    -0.15x = 0.33*125 - 0.36*125

    -0.15x = -0.03*125  ====>  x = %280.03%2A125%29%2F0.15 = 25.


Answer.  25 mL of the drink A should be mixed with  (125-25) = 100 mL of the drink B.

If you need more explanations, examples and samples, see introductory lessons on mixture problems
    - 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.