The sum of two pieces of fence is 80 ft. The longer one is 8 ft. less than three times the shorter one. What is the length of each piece of fence?

1 Answer
Mar 29, 2018

#color(magenta)(18 " ft and "##color(magenta)(46 " ft"#

Explanation:

#"Let the length of one piece be"##color(red)(= x#

#"Length of other piece"##color(red)(=3x-8#

#"According to question,"#

#color(blue)(x+3x-8=80#

#4x-8=80#

#4x=80-8#

#4x=72#

#x=72/4#

#x=18#

#"Length of one piece" = x#

#color(magenta)( = 18 " ft"#

#"Length of other piece" =3x-8#

#=3(18)-8#

#=54-8#

#color(magenta)(=46 " ft"#

Hope this helps! :)