Quick Question: Does this make sense?

Soldato
Joined
19 Jan 2005
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Editing a GCSE maths text book at the minute, have this question:

A piece of rope can be cut into an exact number of 6m lengths.
The rope could also be cut into an exact number of 8m lengths.
What is the shortest possible length of the rope?

I know what they're getting at, it's in a chapter about highest common factors and lowest common multiples. They want the answer to be 24m but is it me or is the wording off?

I've only just started this, it's page 6 of a few hundred pages so I dont want to rock the boat too much.

I think it should be
"2 pieces of rope, one can be cut 6m, the other 8m. How many pieces of each are needed to have the same length"

who agrees?
 
I think the original wording is ok.

It implies you have one piece of rope of 24m which you could in to either 6m or 8m lengths, if you were so inclined.
 
The first question implies there is only one pice of rope, whereas your rewording changes this to two pieces of rope. The first one is correct.
 
But... you did?



...because you're incapable of understanding a GCSE Maths problem? Did you say you're editing it?

good one mate, I forgot how funny you were.

I'm editing it so it makes sense, I had the answer correct and I checked whether it made sense, I'm not arguing that I had it right in the first place am I?
 
What is the shortest length of a rope which can be cut into either 6 or 8m pieces?

Wouldn't you need something to state that it's (multiple) pieces of the exact length? As otherwise the shortest length of rope that can be cut into 6m or 8m pieces could be 16m 1cm i.e. you cut off 1cm and then half it to get 2x8m or you take off 4m 1cm and half the remainder to end up with 2x6m - anything shorter and you don't end up with pieces for both lengths. The phrase "exact" helps to remove ambiguity.
 
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