Question

Frank the lumberjack has a log that is 291 centimetres long. He cuts it into three pieces. Work out the length of the third piece if the first two pieces are 67cm and 181cm long.

Answer 1

43cm

Explanation:

Given

Length of Log = 291cm

First Piece = 67cm

Second Piece = 181cm

Required

Determine the length of the third piece

Given that the log was cut into three;

this implies that;

Length of Log = First Piece + Second Piece + Third Piece

Substitute values for first piece, second piece and length of log;

`291 = 67 + 181 + Third\ Piece`

`291 = 248 + Third\ Piece`

Subtract both sides by 248

`291 - 248 = 248 - 248 + Third\ Piece`

`43 = Third\ Piece`

`Third\ Piece = 43`

Hence, the length of the third piece is 43cm