SOLUTION: A paint that is contains 21% green dye is mixed with another that is 15% green dye. If you need 60 gallons of 19% green dye, how much of each should you use? Hint: the problem onl

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Question 1150072: A paint that is contains 21% green dye is mixed with another that is 15% green dye. If you need 60
gallons of 19% green dye, how much of each should you use? Hint: the problem only tells you one variable
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
A paint that is contains 21% green dye is mixed with another that is 15% green dye. If you need 60
gallons of 19% green dye, how much of each should you use? Hint: the problem only tells you one variable
==================
t = 21%
f = 15%
--------------
t + f = 60
21t + 15f = 19*60
=======================
Hint: we don't need hints.
===============
If you meant to ask to have it done with only 1 variable, "Hint: the problem only tells you one variable" is not a request to do that.
The problem doesn't tell us any variables.

Answer by ikleyn(52788)   (Show Source): You can put this solution on YOUR website!
.
With one variable . . . 


Let x be the amount of the 21% mixture, in gallons.


Then the amount of the 15% mixture is (60-x) gallons.


Then the balance equation is


    0.21x + 0.15*(60-x) = 0.19*60.


From the equation, express "x" and calculate


    x =  = 40.


ANSWER.  40 gallons of the 21% mixture and (600-40) = 20 gallons of the 15% mixture.


CHECK.  0.21*40 + 0.15*20 = 11.4 = 0.19*60.    ! Correct !

Solved.

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

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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