SOLUTION: If Drink A contains 22% water and Drink B contains 97% water. How much of each solution should be mixed in order to create 25 milliliters of a solution that contains 82% water?

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: If Drink A contains 22% water and Drink B contains 97% water. How much of each solution should be mixed in order to create 25 milliliters of a solution that contains 82% water?      Log On

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Question 1147563: If Drink A contains 22% water and Drink B contains 97% water. How much of each solution should be mixed in order to create 25 milliliters of a solution that contains 82% water?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
x of 97%
25-x of 22%
97x%2B22%2825-x%29=82%2A25
97x%2B22%2A25-22x=82%2A25
%2897-22%29x=82%2A25-22%2A25
%2897-22%29x=25%2882-22%29
highlight_green%28x=25%28%2882-22%29%2F%2897-22%29%29%29
.
.

Answer by ikleyn(52835) About Me  (Show Source):
You can put this solution on YOUR website!
.

            The formula   highlight_green%28x=25%28%2882-22%29%2F%2897-2%29%29%29   which @josgarithmetic presents as a final answer,  is  INCORRECT,

            So I came to present the correct solution.


x of 97%

25-x of 22%

0.97*x + 0.22*(25-x) = 0.92*25

0.97x + 0.22*25 - 0.22x = 92*25

(0.97-0.22)x = 0.92*25 - 0.22*25

x = %280.92%2A25+-+0.22%2A25%29%2F%280.97-0.22%29 = 23.333.


ANSWER.  23.333 mL of the drink B and (25-23.333) = 1.666 mL of the drink A.


CHECK.   %280.97%2A23.333+%2B+0.22%2A1.666%29%2F25 = 0.92,   which is CORRECT concentration value.

Solved.

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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.