document.write( "Question 103233: How many liters of a solution containing 22% sugar and how many liters of another solution containing 31% sugar must be mixed together to make 680 liters of solution containing 27% sugar? \n" ); document.write( "

Algebra.Com's Answer #75319 by ptaylor(2198) $\"\"$ $\"About$

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Let x=number of liters of the 22% sugar solution needed
\n" ); document.write( "Then 680-x=number of liters of the 31% solution needed\r
\n" ); document.write( "\n" ); document.write( "Now we know that the pure sugar in the 22% solution (0.22x) plus the pure sugar in the 31% solution (0.31(680-x)) has to equal the pure sugar in the final mixture(0.27*680). So our equation to solve is:\r
\n" ); document.write( "\n" ); document.write( "0.22x+0.31(680-x)=0.27*680 get rid of parens\r
\n" ); document.write( "\n" ); document.write( "0.22x+210.8-0.31x=183.6 subtract 210.8 from both sides\r
\n" ); document.write( "\n" ); document.write( "0.22x+210.8-210.8-0.31x=183.6-210.8 collect like terms
\n" ); document.write( "-0.09x=-27.2 divide both sides by -0.09\r
\n" ); document.write( "\n" ); document.write( "x=302.222222222---- liters of 22% solution\r
\n" ); document.write( "\n" ); document.write( "680-x=680-302.222222222222222222---=377.77777777777777----liters of 31% solution\r
\n" ); document.write( "\n" ); document.write( "CK
\n" ); document.write( "302.2222*0.0.22+377.7777*0.31=680*0.27
\n" ); document.write( "66.4888888888888+117.11111111111111=183.6
\n" ); document.write( "183.599999999----~183.6\r
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\n" ); document.write( "\n" ); document.write( "Hope this helps----ptaylor
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