document.write( "Question 386249: A chemist mixes a solution containing 18% alcohol with a second solution containing 45% alcohol. The result is 12 oz of solution that is 36% alcohol. How many ounces of each solution are mixed? \n" ); document.write( "

Algebra.Com's Answer #273056 by stanbon(75887) $\"\"$ $\"About$

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A chemist mixes a solution containing 18% alcohol with a second solution containing 45% alcohol. The result is 12 oz of solution that is 36% alcohol. How many ounces of each solution are mixed?
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\n" ); document.write( "Quantity: x + y = 12 oz
\n" ); document.write( "Alcohol :0.18x+0.45y = 0.36*12
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\n" ); document.write( "Multiply Quantity by 18
\n" ); document.write( "Multiply Alcohol by 100
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\n" ); document.write( "18x + 18y = 18*12
\n" ); document.write( "18x + 45y = 36*12
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\n" ); document.write( "27y = 18*12
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\n" ); document.write( "y = 2*4
\n" ); document.write( "y = 8 oz (amt. of 45% solution needed in the mixture)
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\n" ); document.write( "Since x+y = 12, x = 4 oz. (amt. of 18% needed in the mixture)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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