document.write( "Question 170662: a 53inch pipe is cut into four pieces. the first two pieces are the same. the third piece is 4 times longer than the first piece. the fourth piece is 5 more than 3 times longer than the second piece. find the equation and the length of the four pieces \n" ); document.write( "
Algebra.Com's Answer #125991 by Mathtut(3670)\"\" \"About 
You can put this solution on YOUR website!
lets call the 4 pieces a,b,c,and d\r
\n" ); document.write( "\n" ); document.write( "a=b..........eq 1
\n" ); document.write( "c=4a.........eq 2
\n" ); document.write( "d=3b+5.......eq 3
\n" ); document.write( "a+b+c+d=53...eq 4
\n" ); document.write( ":
\n" ); document.write( "lets chang c's value in eq 2 to c=4b because of eq 1....now take a's value from eq 1 c's revised value from eq 2, and d's value from eq 3 and plug them into eq 4.
\n" ); document.write( ":
\n" ); document.write( "b+b+(4b)+(3b+5)=53....solve for b
\n" ); document.write( ":
\n" ); document.write( "9b=48
\n" ); document.write( ":
\n" ); document.write( "\"highlight%28b=48%2F9=16%2F3%29\"in
\n" ); document.write( "\"highlight%28a=b=16%2F3%29\"in
\n" ); document.write( "\"highlight%28c=4%2816%2F3%29=64%2F3%29\"in
\n" ); document.write( "\"highlight%28d=3%2816%2F3%29%2B5=21%29\"in
\n" ); document.write( "
\n" );