document.write( "Question 451460: How many gallons of pure water should be added to 10 gallons of a solution that is 25% soap to make the solution 5% soap? \n" ); document.write( "

Algebra.Com's Answer #310427 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"x\"$ = gallons of pure water to be added
\n" ); document.write( "given:
\n" ); document.write( "gallons of soap in 25% solution:
\n" ); document.write( " $\"+.25%2A10+=+2.5+\"$ gallons
\n" ); document.write( "----------------------
\n" ); document.write( " $\"+2.5+%2F+%28+10+%2B+x+%29+=+.05+\"$
\n" ); document.write( " $\"+2.5+=+.05%2A%28+10+%2B+x+%29+\"$
\n" ); document.write( " $\"+2.5+=+.5+%2B+.05x+\"$
\n" ); document.write( " $\"+.05x+=2+\"$
\n" ); document.write( " $\"+x+=+40+\"$
\n" ); document.write( "40 gallons of pure water should be added
\n" ); document.write( "check:
\n" ); document.write( " $\"+2.5+%2F+%28+10+%2B+40+%29+=+.05+\"$
\n" ); document.write( " $\"+2.5+=+.05%2A50+\"$
\n" ); document.write( " $\"+2.5+=+2.5+\"$
\n" ); document.write( "OK \n" ); document.write( "

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