document.write( "Question 455082: How many gallons of a 60% salt solution must be mixed with 30 gallons of a 13% solution to obtain a solution that is 50% salt? \n" ); document.write( "

Algebra.Com's Answer #312434 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"a\"$ = gallons of 60% solution needed
\n" ); document.write( "given:
\n" ); document.write( " $\"+.6a+\"$ = gallons of salt in 60% solution
\n" ); document.write( " $\"+.13%2A30+=+3.9+\"$ = gallons of salt in 60% solution
\n" ); document.write( " $\"+%28.6a+%2B+3.9%29+%2F+%28+a+%2B+30%29+=+.5+\"$
\n" ); document.write( " $\"+.6a+%2B+3.9+=+.5%2A%28+a+%2B+30+%29+\"$
\n" ); document.write( " $\"+.6a+%2B+3.9+=+.5a+%2B+15+\"$
\n" ); document.write( " $\"+.1a+=+11.1+\"$
\n" ); document.write( " $\"+a+=+111+\"$
\n" ); document.write( "111 gallons of 60% solution are needed
\n" ); document.write( "check answer:
\n" ); document.write( " $\"+%28.6a+%2B+3.9%29+%2F+%28+a+%2B+30%29+=+.5+\"$
\n" ); document.write( " $\"+%28.6%2A111+%2B+3.9%29+%2F+%28+111+%2B+30%29+=+.5+\"$
\n" ); document.write( " $\"+%28+66.6+%2B+3.9%29+%2F+141+=+.5+\"$
\n" ); document.write( " $\"+70.5+%2F+141+=+.5+\"$
\n" ); document.write( " $\"+70.5+=+.5%2A141+\"$
\n" ); document.write( " $\"+70.5+=+70.5+\"$
\n" ); document.write( "OK \n" ); document.write( "

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