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A man wants to cut three lengths from a single piece of board of length 91cm. The second length is to be 3 cm longer than the shortest and third length is to be twice as long as the shortest. What are the possible lengths for the shortest board if the third piece is to be at least 5 cm longer than the second?
  • a)
    5 ≤ × ≤ 91
  • b)
    3 ≤ × ≤ 5
  • c)
    3 ≤ × ≤ 91
  • d)
    8 ≤ × ≤ 22
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A man wants to cut three lengths from a single piece of board of lengt...
Let x be the length of the shortest board.
The second length is x+3.
The third length is 2x.
The third length is at least 5 cm longer than the second: 2x ≥ (x+3)+5
2x ≥ x+8
x ≥ 8
The possible lengths for the shortest board are x ≥ 8. Answer: \boxed{8}.
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A man wants to cut three lengths from a single piece of board of length 91cm. The second length is to be 3 cm longer than the shortest and third length is to be twice as long as the shortest. What are the possible lengths for the shortest board if the third piece is to be at least 5 cm longer than the second?a)5≤×≤ 91b)3≤×≤ 5c)3≤×≤ 91d)8≤×≤ 22Correct answer is option 'D'. Can you explain this answer?
Question Description
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