Question

a 25-foot wire is to be cut so that the longer piece is one foot longer than 5 times the shorter peice . find the length of each peice

Answer 1

short piece = x

 long piece = 5x +1

x +5x +1 = 25

6x = 24

x = 24/6 = 4

 short piece = 4 feet

long piece = 21 feet

Answer 2

25 = L + S where L is longer piece and S is shorter piece
L = 5S + 1
Then 25 = 5S + 1 + S
         25 = 6S + 1
         24 = 6S
           S = 4
           L = 21