document.write( "Question 708766: Divide 56 into two parts such that 3/8 of the larger number decreased by 6 equals 1/4 if the smaller number.\r
\n" ); document.write( "\n" ); document.write( "The answers are 32 and 24 but how do get to them. \n" ); document.write( "
Algebra.Com's Answer #436246 by stanbon(75887)\"\" \"About 
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Divide 56 into two parts such that 3/8 of the larger number decreased by 6 equals 1/4 if the smaller number.
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\n" ); document.write( "Equations:
\n" ); document.write( "x + y = 56
\n" ); document.write( "(3/8)x - 6 = (1/4)y
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\n" ); document.write( "Modify:
\n" ); document.write( "3x + 3y = 3*56
\n" ); document.write( "3x - 48 = 2y
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\n" ); document.write( "Rearrange:
\n" ); document.write( "3x + 3y = 3*56
\n" ); document.write( "3x - 2y = 48
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\n" ); document.write( "Subtract and solve for \"y\":
\n" ); document.write( "5y = 120
\n" ); document.write( "y = 24
\n" ); document.write( "----
\n" ); document.write( "Solve for \"x\":
\n" ); document.write( "x + y = 56
\n" ); document.write( "x + 24 = 56
\n" ); document.write( "x = 32
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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