document.write( "Question 156223: Please help me solve this problem::\r
\n" ); document.write( "\n" ); document.write( "A piece of ribbon is 60 centimeters long and cut into three different pieces. One piece is 2 centimeters longer than the shortest piece and 2 centimeters shorter than the longest piece. Whats the length of each piece?
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Algebra.Com's Answer #115465 by jojo14344(1513)\"\" \"About 
You can put this solution on YOUR website!
Let \"x\"= shortest piece of cut= 1st piece
\n" ); document.write( "\"x%2B2%29\"= 2 centimeters longer than the shortest = 2nd piece
\n" ); document.write( "\"y\" = longest piece = 3rd piece
\n" ); document.write( "Take note: 2nd piece is also 2 centimeters shorter than the longest piece, \"y-2\" = 2nd piece
\n" ); document.write( "We can equate the two 2nd piece since they are the same:
\n" ); document.write( "\"%28x%2B2%29=%28y-2%29\"
\n" ); document.write( "\"x=y-2-2=y-4\" -------------------------------> eqn 1
\n" ); document.write( "Now, adding the 1st, 2nd & 3rd piece equals 60 cm:
\n" ); document.write( "\"x%2Bx%2B2%2By=60\" --------------------------------> eqn 2
\n" ); document.write( "\"2x%2By=60-2\"
\n" ); document.write( "\"2x%2By=58\", substitute he value of \"x\" in eqn 1:
\n" ); document.write( "\"2%28y-4%29%2By=58\"
\n" ); document.write( "\"2y-8%2By=58\"
\n" ); document.write( "\"3y=58%2B8\" --------------> \"3y=66\"
\n" ); document.write( "\"cross%283%29y%2Fcross%283%29=cross%2866%2922%2Fcross%283%29\"
\n" ); document.write( "\"y=22cm\" ----------------------------> 3rd piece, longest cut
\n" ); document.write( "go back eqn 1: \"x=y-4=22-4=18cm\" -----> 1st piece, shortest cut
\n" ); document.write( "\"x%2B2=18%2B2=20cm\" ----------------------> 2nd piece, 2cm longer than the shortest
\n" ); document.write( "In doubt? go back eqn 2,
\n" ); document.write( "\"18%2B18%2B2%2B22=60\"
\n" ); document.write( "\"60cm=60cm\" , total ribbon
\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo\r
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