Question

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?

Answer 1

`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! :)