SOLUTION: a chemist mixes 12 L of a solution that is 45% acid with 8 L of a solution that is 70% acid. What is the percent of acid of the mixture?

Question 290381: a chemist mixes 12 L of a solution that is 45% acid with 8 L of a solution that is 70% acid. What is the percent of acid of the mixture?
Found 3 solutions by brucewill, amalm06, ikleyn:
Answer by brucewill(101)   (Show Source): You can put this solution on YOUR website!
This isn't exactly an algebraic solution, it's just logic.
12 L * .45 = 5.4 L of pure acid
8 L * .70 = 5.6 L of pure acid.
There are 11 L of acid, in 20 L of liquid, therefore, it would be 55% acid solution. (11/20).
Answer by amalm06(224)   (Show Source): You can put this solution on YOUR website!
In this question, you are increasing the amount (concentration) of acid. The final concentration should be between 45% and 70%.
x=[(70-45)/45]x100=55% (Answer)
Answer by ikleyn(52787)   (Show Source): You can put this solution on YOUR website!
.

The percent of acid in the mixture = = 0.55 = 55%. The numerator of the fraction is the pure acid content in liters, coming from two ingredients. The denominator is the total liquid volume, in liters.

-------------------
There is entire bunch of introductory 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 alloys
    - Typical word problems on mixtures from the archive
    - Advanced mixture problems
    - Advanced mixture problem for three alloys
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.

RELATED QUESTIONS
A chemist mixes 12 L of a solution that is 45% acid with 8 L of a solution that is 75... (answered by lwsshak3)
A chemist mixes 12L of a solution that is 45% acid with 8L of a solution that is 70%... (answered by richwmiller)
a chemist mixes 8 l of 40% acid solution with some unknown quantity of 70% solution to... (answered by lwsshak3)
5. A chemist has one solution that is 15% acid and another solution that is 25% acid. How (answered by Alan3354,stanbon)
a chemist mixes 150ml of solution that is 45% acid with 100ml of pure acid how many ml... (answered by addingup,stanbon)
my question: A chemist mixes 12l of a solution tht is 45% acid wiht 8l of a sotution... (answered by Maths68)
A chemist mixes 10L of a solution that is 30% acid with 30L of a solution that is 50%... (answered by Maths68)
A chemist is making 200 L of a solution that is 62% acid. He is mixing an 80% acid... (answered by stanbon)
A chemist is making 200 L of a solution that is 62% acid. He is mixing an 80% acid... (answered by Maths68)