SOLUTION: how many gallons of acid need to be addedto convert one gallon 20% acid soltion into 30% acid solution.

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Question 1058969: how many gallons of acid need to be addedto convert one gallon 20% acid soltion into 30% acid solution.
Found 3 solutions by josgarithmetic, josmiceli, ikleyn:
Answer by josgarithmetic(39620) About Me  (Show Source):
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = gallons of pure acid to be added
+.2%2A1+=+.2+ gallons of acid in original solution
----------------------------------------------
+%28+x+%2B+.2+%29+%2F+%28+x+%2B+1+%29+=+.3+
+x+%2B+.2+=+.3%2A%28+x+%2B+1+%29+
+x+%2B+.2+=+.3x+%2B+.3+
+.7x+=+.1+
+x+=+1%2F7+
----------------
1/7 gallon of pure acid needs to be added
( about .1429 gallons )
--------------------
check:
+%28+x+%2B+.2+%29+%2F+%28+x+%2B+1+%29+=+.3+
+%28+1%2F7+%2B+1%2F5+%29+%2F+%28+1%2F7+%2B+1+%29+=+3%2F10+
+%28+5%2F35+%2B+7%2F35+%29+%2F+%28+8%2F7+%29+=+3%2F10+
+%28+12%2F35+%29+%2F+%28+40%2F35+%29+=+3%2F10+
+12%2F40+=+3%2F10+
+3%2F10+=+3%2F10+
OK

Answer by ikleyn(52810) About Me  (Show Source):
You can put this solution on YOUR website!
.
There is entire bunch of 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 the 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".

The textbook contains many other solved word problems, as well as many other interesting and useful things.