SOLUTION: A 10-quart radiator contains a 40% antifreeze solution. How much of the solution needs to be drained out and replaced with pure antifreeze in order to raise the solution to 70% ant

Algebra ->  Rate-of-work-word-problems -> SOLUTION: A 10-quart radiator contains a 40% antifreeze solution. How much of the solution needs to be drained out and replaced with pure antifreeze in order to raise the solution to 70% ant      Log On


   



Question 1094296: A 10-quart radiator contains a 40% antifreeze solution. How much of the solution needs to be drained out and replaced with pure antifreeze in order to raise the solution to 70% antifreeze?
Found 2 solutions by josmiceli, ikleyn:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ =quarts of solution to be
drained and replaced with pure antifreeze
+.4x+ = quarts of alcohol drained off
+.4%2A10+=+4+ = quarts of alcohol originally
in the radiator
----------------------------------------
+4+-+.4x+%2B+x+%29+%2F+10+=+.7+
+%28+4+%2B+.6x+%29+%2F+10+=+.7+
+4+%2B+.6x+=+7+
+.6x+=+3+
+x+=+5+
-------------
5 quarts needs to be drained and replaced
with pure antifreeze
-----------------------
check:
+%28+4+%2B+.6%2A5+%29+%2F+10+=+.7+
+7%2F10+=+.7+
OK

Answer by ikleyn(52754) About Me  (Show Source):
You can put this solution on YOUR website!
.
For similar problem solved see the link
https://www.algebra.com/algebra/homework/word/mixtures/Mixture_Word_Problems.faq.question.1039181.html%20algebra.com%20ikleyn

https://www.algebra.com/algebra/homework/word/mixtures/Mixture_Word_Problems.faq.question.1039181.html%20algebra.com%20ikleyn



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.

This list contains the lesson (*) on antifreeze solution problems similar to your.

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.