perplexus.info :: Weights and Scales : Feet-Inch Transpose

Feet-Inch Transpose (Posted on 2013-12-06)

(A) Ben called ahead by telephone and ordered a length of rope which is in integer feet and inches (that is, lengths like 3 feet and 5 inches NOT lengths like 3 feet and 5.5 inches. Also, lengths like 3 feet and 34 inches are untenable.)

When he picked it up, he found that the clerk had wrongly written the order by interchanging the feet and inches. As a result the rope was only 30% of the length he ordered.

What length did he originally order and what length did he get?

(B) If Ben had got p% of the length he ordered, then for what integer values of p from 1 to 100 inclusive are each of the length of the rope he ordered and the length of the rope he received in integer feet and inches?

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

re: Extra credit? (spoiler)

| Comment 3 of 7 |

(In reply to Extra credit? (spoiler) by Steve Herman)

Although p=100 fits the equation, it does not present a number

acceptable as a valid answer for the situation described:

...he found that the clerk had wrongly written the order by interchanging the feet and inches. As a result the rope was only 30% of the length he ordered.

No extra bonus for values over 1OO, - the word "only" cannot be

applied to such numbers e.g. " Ben discovered getting only 550%

of his original order ".

The validity of answers should always be tested by inserting the values into the given text, not only into the equation(s).

Posted by Ady TZIDON on 2013-12-06 17:12:12

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