P3 Maths

by Kumar
(Singapore)

There are 48 more passengers on Bus A than Bus B. How many passengers to be transferred from Bus A to Bus B so that there are 24 more passengers in Bus A than Bus B?



My Solution:

Initially there are 48 more passengers in Bus A. In order to make it 24 more, we have to transfer 24 more passengers from Bus A to Bus B.

But the answer given is 12. Can anybody explain how?

Zach's Answer:


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Apr 19, 2012
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2nd piece of 1 unit
by: Zach

Hi Kumar,

I finally understood your question. The 2nd piece of 1 unit was drawn directly above the 1st piece of 1 unit as they both have the same start point and end point. That means they must represent the same number of passengers.

When we draw comparison models, the models can be compared because they have the same start points. Where the end points differ, one quantity would be greater than the other quantity. Where the end points are the same, then both will represent the same quantity.

Hope that clear things up for you. If not, let me know again. Will do my best to help you get this.

Apr 17, 2012
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P3 maths
by: Kumar

Yes, I understood that the number of passengers transferred from bus A is 1 unit means number of passengers got into bus B also 1 unit...

But my query is how the part in bus A (which marked as "1 unit" for second time for bus A also 1 unit?

Appreciate your explaination

Apr 11, 2012
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Why 1 unit?
by: Anonymous

Hi Kumar,

That's because the 1 unit of passengers transferred out of Bus A is exactly the same 1 unit of passengers who went into Bus B. Or shall we say that the number of passengers who transferred out of Bus A is the same number of passengers who went into Bus B. Hope that helps. If you are still confused, let me know.

Apr 11, 2012
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Query
by: Kumar

Hi,

Thank you for your explaination. I have a query. How you concluded that 1 unit which you drew in the video at the time 1.30?

ie the " 1 unit" which you drew for 2nd time for "A"..how it is also considered same?


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