document.write( "Question 218862: A 4 ft piece of PVC pipe is cut in three pieces. The longest piece is 12 in. longer than twice the smallest piece. The middle piece is 6 in. less than the longest piece. How long is each piece? \n" ); document.write( "
Algebra.Com's Answer #164737 by RAY100(1637)![]() ![]() ![]() You can put this solution on YOUR website! Let a,,b,,c,,,be the pieces,,,a,, largest,,,c,,,smallest,,,,in inches \n" ); document.write( ". \n" ); document.write( "a+b+c=4ft = 48 inches \n" ); document.write( ". \n" ); document.write( "a=2c+12,,,,,b= a-6,,,,,,,substituting \n" ); document.write( ". \n" ); document.write( "(2c+12) +(a-6) +c =48,,,,,,but a=(2c+12) \n" ); document.write( ". \n" ); document.write( "(2c+12+ +{(2c+12)-6} +c = 48 \n" ); document.write( ". \n" ); document.write( "2c+12 +2c+12 -6 +c = 48 \n" ); document.write( ". \n" ); document.write( "5c = 30 \n" ); document.write( ". \n" ); document.write( "c=6,,,,a=2(6)+12= 24,,,,b=(26-6)= 18 \n" ); document.write( ". \n" ); document.write( ". \n" ); document.write( "check,,,,,a+b+c=48,,,,,24+18+6=48,,,,ok \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( " |