document.write( "Question 945690: please show me the way you solve this problem. i am almost there. How many gallons of 5% acid solution should be mixed with 20 gallons of a 10% acid solution to obtain an 8% acid solution?
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Algebra.Com's Answer #576851 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+x+\"$ = gallons of 5% acid solution needed
\n" ); document.write( " $\"+.05x+\"$ = gallons of acid in 5% acid solution
\n" ); document.write( " $\"+.1%2A20+=+2+\"$ = gallons of acid in 10% acid solution
\n" ); document.write( "----------------------------------------------
\n" ); document.write( " $\"+%28+.05x+%2B+2+%29+%2F+%28+x+%2B+20+%29+=+.08+\"$
\n" ); document.write( " $\"+.05x+%2B+2+=+.08%2A%28+x+%2B+20+%29+\"$
\n" ); document.write( " $\"+.05x+%2B+2+=+.08x+%2B+1.6+\"$
\n" ); document.write( " $\"+.03x+=+.4+\"$
\n" ); document.write( " $\"+x+=+13.333+\"$
\n" ); document.write( "13.333 gallons of 5% acid solution are needed
\n" ); document.write( "-------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+%28+.05x+%2B+2+%29+%2F+%28+x+%2B+20+%29+=+.08+\"$
\n" ); document.write( " $\"+%28+.05%2A13.333+%2B+2+%29+%2F+%28+13.333+%2B+20+%29+=+.08+\"$
\n" ); document.write( " $\"+2.667+%2F+33.333+=+.08+\"$
\n" ); document.write( " $\"+2.667+=+.08%2A33.333+\"$
\n" ); document.write( " $\"+2.667+=+2.667+\"$
\n" ); document.write( "OK\r
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