SOLUTION: Kathryn wants to make 20.9 L of a 70% alcohol solution by mixing together a 46% alcohol solution and a 90% alcohol solution. How much of each solution must she use?

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Question 1171930: Kathryn wants to make 20.9 L of a 70%
alcohol solution by mixing together a 46%
alcohol solution and a 90% alcohol
solution. How much of each solution
must she use?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
v of the 90%
20.9-v of the 46%

90v%2B46%2820.9-v%29=70%2A20.9---------do what you have to...



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If you really wanted to think through using fraction meanings instead of as percents, and look at actual 'volume' of the alcohol then you could start as
0.9v%2B0.46%2820.9-v%29=%280.7%29%2820.9%29
.
.
.

Answer by ikleyn(52782) About Me  (Show Source):
You can put this solution on YOUR website!
.

As I see, you expose your great interest to mixture word problems.

In this site, there is entire bunch of lessons covering various types of mixture problems
    - Mixture problems
    - More Mixture problems
    - Solving typical word problems on mixtures for solutions
    - Word problems on mixtures for antifreeze solutions
    - Word problems on mixtures for dry substances like coffee beans, nuts, cashew and peanuts
    - Word problems on mixtures for dry substances like candies, dried fruits
    - Word problems on mixtures for dry substances like soil and sand
    - Word problems on mixtures for alloys
    - Typical word problems on mixtures from the archive
    - Advanced mixture problems
    - Advanced mixture problem for three alloys
    - Unusual word problem on mixtures
    - Check if you know the basics of mixtures from Science

    - OVERVIEW of lessons on word problems for mixtures


A convenient place to quickly observe these lessons from a  "bird flight height"  (a top view)  is the last lesson in the list.

Read them and become an expert in solution the 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 online textbook 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.