document.write( "Question 162060: 1 (solving systems of equations)-how many gallons of a 5% solution should be mixed with 30 gallons of a 10% solution to obtain a mixture that is 8%? \n" ); document.write( "

Algebra.Com's Answer #119438 by josmiceli(19441) $\"\"$ $\"About$

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In words:
\n" ); document.write( "(gallons of stuff in 5%) + (gallons of stuff in 10%) / total mixture = 8%
\n" ); document.write( "Let the gallons of the 5% solution needed = $\"x\"$
\n" ); document.write( " $\"%28.05x+%2B+.1%2A30%29+%2F+%28x+%2B+30%29+=+.08\"$
\n" ); document.write( "Multiply both sides by $\"x+%2B+30\"$
\n" ); document.write( " $\".05x+%2B+3+=+.08%2A%28x+%2B+30%29\"$
\n" ); document.write( " $\".05x+%2B+3+=+.08x+%2B+2.4\"$
\n" ); document.write( " $\".03x+=+.6\"$
\n" ); document.write( " $\"x+=+20\"$ gal
\n" ); document.write( "20 gallons of the 5% solution are needed
\n" ); document.write( "check answer:
\n" ); document.write( " $\"%28.05x+%2B+.1%2A30%29+%2F+%28x+%2B+30%29+=+.08\"$
\n" ); document.write( " $\"%28.05%2A20+%2B+.1%2A30%29+%2F+%2820+%2B+30%29+=+.08\"$
\n" ); document.write( " $\"%281+%2B+3%29+%2F+50+=+.08\"$
\n" ); document.write( " $\"4+=+.08%2A50\"$
\n" ); document.write( " $\"4+=+4\"$
\n" ); document.write( "OK \n" ); document.write( "

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