document.write( "Question 1042858: 1 unit of a solution containing x% water is mixed with 3 units of another solution containing y% water. For a resulting solution, containing 60% water, find out how many integral values can x take? (x>y) \n" ); document.write( "
Algebra.Com's Answer #657908 by josgarithmetic(39627)\"\" \"About 
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\"%281%2Ax%2B3%2Ay%29%2F%281%2B3%29=60\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%2B3y=4%2A60\"\r
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\n" ); document.write( "\n" ); document.write( "\"system%283y%2Bx=240%2Cor%2Cx%2B3y=240%29\"\r
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\n" ); document.write( "\n" ); document.write( "You want to find integer values, in fact, WHOLE NUMBER values for x. Understand that both x and y must be between 0 and 100.\r
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\n" ); document.write( "\n" ); document.write( "\"x=240-%283y%29\"\r
\n" ); document.write( "\n" ); document.write( "also \"x%2By=100\"
\n" ); document.write( "\"y=100-x\"
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\n" ); document.write( "\"x=240-3%28100-x%29\"
\n" ); document.write( "\"x=240-300%2B3x\"
\n" ); document.write( "\"x=3x-60\"
\n" ); document.write( "\"0=2x-60\"
\n" ); document.write( "\"x-30=0\"
\n" ); document.write( "\"x=30\"------------the only value which works.
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