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

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

Answer 2

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