A certain kind of board is only sold in lengths of multiples of 2 meters. The shortest board sold is 16 m and the longest is 18 m. A builder neadss a large quantity of board in 4 1/2 m length s. For minimum waste the length to be ordered should be
(1)10. (2)12. (3)16. (4)18
Dear Anjaly,
Please find below the solution to the asked query:
Length of the shortest board = 16 m
Length of the longest board = 18 m
Consider each of the given options.
(1). Each 10 m long board yields two 4.5 m boards with 1 m waste as 10 = 2(4.5) + 1
(2). Each 12 m long board yields two 4.5 m boards with 3 m waste as 12 = 2(4.5) + 3
(3) Each 16 m long board yields three 4.5 m boards with 2.5 m waste as 16 = 3(4.5) + 2.5
(4). Each 18 m long board yields four 4.5 m boards with no wastage as 18 = 4 (4.5) + 0
Hence, the correct option is (4).
To practice with some more question following is the link of the similar quey as asked by you:
https://www.meritnation.com/ask-answer/question/a-certain-type-of-board-is-sold-only-in-length-of-multiples/math/6895147
Hope this information will clear your doubt about this topic.
If you have any more doubts about just ask here on the forum and our experts will try to help you out as soon as possible.
Regards
Please find below the solution to the asked query:
Length of the shortest board = 16 m
Length of the longest board = 18 m
Consider each of the given options.
(1). Each 10 m long board yields two 4.5 m boards with 1 m waste as 10 = 2(4.5) + 1
(2). Each 12 m long board yields two 4.5 m boards with 3 m waste as 12 = 2(4.5) + 3
(3) Each 16 m long board yields three 4.5 m boards with 2.5 m waste as 16 = 3(4.5) + 2.5
(4). Each 18 m long board yields four 4.5 m boards with no wastage as 18 = 4 (4.5) + 0
Hence, the correct option is (4).
To practice with some more question following is the link of the similar quey as asked by you:
https://www.meritnation.com/ask-answer/question/a-certain-type-of-board-is-sold-only-in-length-of-multiples/math/6895147
Hope this information will clear your doubt about this topic.
If you have any more doubts about just ask here on the forum and our experts will try to help you out as soon as possible.
Regards