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Thursday, March 23 2017 @ 05:22 AM CDT
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 ACS P5 mid year Qn 29
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By: ashlene (offline)  Tuesday, May 08 2012 @ 02:59 AM CDT (Read 2166 times)  
ashlene

This question is driving me nuts~ could anyone help me?

hakim and suresh had some money in the ratio of 13:8. When they each received $133, Hakim will have 4 times as
much money as Suresh. How much did Hakim had at first?

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By: nisalam (offline)  Tuesday, May 08 2012 @ 04:34 AM CDT  
nisalam

Don't go nuts, the solution is here :-)

hakim had 13u
suresh had 8u.
later Hakim had 4 p
Suresh had 1p.

difference between them is unchanged

1p = 8u - 133
3p = 5u (the difference between boys)
24u -399 = 5u
19u = 399
1u = $21

Hakim had $21 X 13 --> $273

Hope this helps!

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By: khengsin (offline)  Wednesday, May 09 2012 @ 03:42 AM CDT  
khengsin

I used your answer to subsitute back into the question and it does not seem to be correct. Your answer $273 is only correct if we changed the question instead of 'received $133' to become 'gave out $133'.

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By: sexyviper (offline)  Sunday, May 05 2013 @ 10:37 PM CDT  
sexyviper

I also seems to have problem with this question. The answer does not make sense if subsitute back to the question.

Meaning, if

H has $273 at first, that means S will have $168.

If each received $133, that means H has $406 and S will have $301 at the end.

Does not satify the condition of H having 4x more. Right?

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By: nisalam (offline)  Monday, May 06 2013 @ 01:41 AM CDT  
nisalam

Hi, I believe the question 'as is' is plain wrong. I misread it, sorry, but I think that is the only possible interpretation, anyway. Laughing Out Loud

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By: jo sarah (offline)  Saturday, May 11 2013 @ 02:58 AM CDT  
jo sarah

Dear friends, it seems there is something wrong in the question, and it Cannot be solved.

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By: echeewh (offline)  Monday, May 13 2013 @ 01:05 AM CDT  
echeewh

Dear <ashlene>, <khengsin>, <Sexyviper>, <nisalam> and all,

I have done this question last year and had explained then that the question should have been rephrased. Instead of "When they each received $133 ..." , it should read as "When they each gave away $133 ...". then <nisalam>'s solution will fall into place.

Similar thoughts were shared by <khengsin> and you are correct. Thank you.

My solution was done using <Unchanged Difference> concept and I can tell / realize the mistake in the question at that moment. (note: my solution is on p41 and last posted by <jennefer_06> on Apr 11, 2012. Title: Pri 5 problem sum)

Occasionally there are questions wrongly set as a result of typo errors (as recent as in a couple of SA1 2012 papers). The same goes for <Answerkey> too.

It is important and essential for the viewer to learn and understand the concept and method of working, despite the occasional hiccups / flaws in the question and/or answerkey. The same goes for the clarity of the question itself too.

Putting back <nisalam>'s answer into the question, we have ...


H : S
13 : 8

H: 273
S: 168

Based on my 'rephrased' statement, each gave away $133, we have ...

H: 273 - 133 = 140
S: 168 - 133 = 35

H : S
140 : 35
4 : 1

=======

Trust this helps.

Thank you and all the very best in your SA1,
Edward

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