SOLUTION: Pola a massage therapist, needs 5 ounces of a 14% lavender oil solution. She has only 5% and 30% lavender oil solution available. How many ounces of each should Pola mix to obtain

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Question 1096596: Pola a massage therapist, needs 5 ounces of a 14% lavender oil solution. She has only 5% and 30% lavender oil solution available. How many ounces of each should Pola mix to obtain the desired solution
FOR 5% I GOT 3.2
FOR 30% I GOT 1.8
IS THIS CORRECT??

Answer by ikleyn(52778)   (Show Source): You can put this solution on YOUR website!
.
Let us check if this is correct.


The amount of the pure lavender oil in 3.2 ounces of the 5% solution is  0.05*3.2 ounces.


The amount of the pure lavender oil in 1.8 ounces of the 30% solution is  0.3*1.8 ounces.


In total, there are  0.05*3.2 + 0.3*1.8 = 0.7 ounces the pure lavender oil in your solution.


Then the oil concentration in your solution is 0.7/5 = 0.14 = 14%.

Your answer is CORRECT !

Congratulations ! !


------------------
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
in this site.

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.



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