SOLUTION: I’m didn’t find an exact word for word topic so sorry if I chose the wrong one. My topic is mixture word problems and the question is how many qt. of 12% saline solution mu

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Question 1164981: I’m didn’t find an exact word for word topic so sorry if I chose the wrong one.
My topic is mixture word problems and the question is how many qt. of 12% saline solution must be mixed with 4 qt. of pure water to make a 9% solution.
I’ve tried couple of different ways using tables and equations but I can’t seem to find the right answer.
Sincerely random kid from a random school that needs help in math.

Found 3 solutions by solver91311, josgarithmetic, ikleyn:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Well, let's test your sincerity. Describe one of the ways you have tried to solve this problem.

John

My calculator said it, I believe it, that settles it


Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
-------------------------------------------------
how many qt. of 12% saline solution must be mixed with 4 qt. of pure water to make a 9% solution. ?
------------------------------------------------
PERCENT CONC.     QUANTITY VOL.        SOLUTE
  12                   v                0.12v
   0 (water)           4 qts.            0
 ---------------------------------------------
   9                  v+4              0.09(v+4)

The amount of solute from the parts must be same as amount from the finished solution.

0.12v=0.09%28v%2B4%29
-
0.12v=0.09v%2B0.36
0.03v=0.36
highlight%28v=12%29quarts of the 12% saline.

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
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

    - Special type mixture problems on DILUTION adding water
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.