Question

A 52-foot length of wire is to be cut into 2 pieces, so that the longer piece is ten feet longer than

two times the shorter piece. Find the length of each piece.
Length of Short Piece =
feet
Length of Long Piece =
feet

Answer 1

length of short piece = 14ft

length of long piece = 38ft

Explanation:

s: short piece, l: long piece

52 = s + l

s = ((52 - 10)/3)

s = (42/3)

s = 14

l = 2s + 10

l = (2 x 14) + 10

l = 28 + 10

l = 38

52 = s + l

52 = 14 + 38

52 = 52