Question

A man wants to cut three pieces from a single piece of board of length 47m The second piece is to be 3m longer than the shortest one and the third piece is to be twice as long as the shortest piece what are the possible length of the shortest board if the third piece is to be at least 5m longer than the second?

Answer 1

Hi ,

Length of the single piece of board = 47 m

Let the length of the shortest piece = x m

Length of the second piece = 3 m longer than

the shortest piece

= ( x + 3 ) m

Length of the third piece = twice the shortest piece

= 2x m

According to the problem given,

Sum of the three pieces = 47 m

x + ( x + 3 ) + 2x = 47

4x + 3 = 47

4x = 47 - 3

4x = 44

x = 44 /4

x = 11

Therefore,

Length of the shortest piece = x = 11 m

Length of the second piece = x + 3 = 11 + 3 = 14 m

Length of the third piece = 2x = 2 × 11 = 22 m

I hope this helps you.

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