SOLUTION: How much of two grape drinks, one 10% grape juice and the other 40% grape juice should be mixed to get 3 gallons that is 30% grape juice?

Question 1148074: How much of two grape drinks, one 10% grape juice and the other 40% grape juice should be mixed to get 3 gallons that is 30% grape juice?
Answer by ikleyn(52810) (Show Source): You can put this solution on YOUR website!
.


Let x be the volume of the 40% juice, in gallons.


Then the amount of the 10% juice is (3-x) gallons.


Your equation is


    0.4x + 0.1(3-x) = 0.3*3


saying that the amount of the pure juice in ingredients is the same as it is in the micture.


From the equation, express  x  and calculate


    x =  = 2.


ANSWER.  2 gallons of the 40% guice and the rest (3-2) = 1 gallon of the 10% juice.


.   =  = 0.3 = 30% concentration.  ! Correct !

Solved.

By the way, the answer is SELF-EVIDENT from the given data.

Anyone house-wife will answer with correct answer without solving equation/equations,
based exclusively on her common sense.

But from my solution, you know now the formal Algebra way (! !)

----------------

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.

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