document.write( "Question 1107469: During a science experiment, Alma created a 22% alcohol solution by mixing 8 fluid ounces of a 28% alcohol solution with a certain amount of a 6% alcohol solution. How many fluid ounces of the 22% alcohol solution did she create? \n" ); document.write( "

Algebra.Com's Answer #722472 by rothauserc(4718) $\"\"$ $\"About$

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let x be the amount of the 22% solution
\n" ); document.write( "let y be the amount of the 6% solution
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\n" ); document.write( "We start with what we know
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\n" ); document.write( "8 * 0.28 = 2.24
\n" ); document.write( "y * 0.06 = 0.06y
\n" ); document.write( "x * 0.22 = 0.22x
\n" ); document.write( ":
\n" ); document.write( "x = y + 8
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\n" ); document.write( "y = x - 8
\n" ); document.write( ":
\n" ); document.write( "This equation represents mixing the 6% solution with the 28% solution
\n" ); document.write( ":
\n" ); document.write( "0.06(x-8) +2.24 = 0.22x
\n" ); document.write( ":
\n" ); document.write( "0.06x -0.48 +2.24 = 0.22x
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\n" ); document.write( "0.16x = 1.76
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\n" ); document.write( "x = 11
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\n" ); document.write( "Alma created 11 ounces of the 22% solution
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