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Tuesday, December 12 2017 @ 07:46 PM CST
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By: achieve_goal (offline)  Tuesday, June 18 2013 @ 08:27 PM CDT (Read 1653 times)  
achieve_goal

There were 1600 pupils in a primary school. When the number of boys increased by 76 and
the number of girls decreased by 4%, the total enrolment in the school increased by 3%.
How many boys were there in the school at first?

Please help me.

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By: echeewh (offline)  Wednesday, June 19 2013 @ 01:45 AM CDT  
echeewh

Hi <achieve_goal>,

Following pls find my worked solution:

<before>

B + G = 1600 -- (1)

<process>
B: +76
G: -4% = -(4/100) = -(1/25)

<after>

total enrolment: +3%
(103/100) × 1600 = 1648

hence, increase in enrolment = 1648 - 1600 = 48

from <process>
76 - (1/25)G = 48
(1/25)G = 76 - 48
(1/25)G = 28
G = 28 × 25 = 700

In (1):
B + G = 1600
B = 1600 - 700 = 900

========

Trust this helps.

Do let me know again if this is different from your <Answerkey> or if there's further clarification.

Cheers,
Edward

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By: achieve_goal (offline)  Wednesday, June 26 2013 @ 03:06 AM CDT  
achieve_goal

Quote by: echeewh



hence, increase in enrolment = 1648 - 1600 = 48

from <process>
76 - (1/25)G = 48
(1/25)G = 76 - 48
(1/25)G = 28
G = 28 × 25 = 700

In (1):
B + G = 1600
B = 1600 - 700 = 900

========




Hey there, I do not understand this part. Can you kindly explain it to me? Thank you.

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By: echeewh (offline)  Thursday, June 27 2013 @ 12:32 AM CDT  
echeewh

Hi <Achieve_goal>,

You are given that there's an increase of 76 Boys and a decrease of 4% Girls {=(1/25) Girls}. Adding these together will give you a nett increase in enrolment as given in the question {3% increase in total enrolment}. And this increase works out to be 48. Hence,

76 - (1/25)G = 48

This nett increase is logically referring to the Boys.

I'm sure you can follow the rest now, can u ?

Trust this clarifies. Otherwise do let me know again.

{Remarks: Think you need more Coaching Big Grin }

Cheers,
Edward

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By: achieve_goal (offline)  Thursday, June 27 2013 @ 10:34 PM CDT  
achieve_goal

Quote by: echeewh

Hi <Achieve_goal>,

{Remarks: Think you need more Coaching Big Grin }

Cheers,
Edward



Thank you for the explanation Big Grin

Yes, its true... my child and I need more coaching in this type of questions but unfortunately we don't have anymore time... the prelims are nearing... so apparently we are not able to come.Cry Once again thank you for the effort that you take in to type and explain for each and every question I type. Big Grin

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By: echeewh (offline)  Friday, June 28 2013 @ 03:42 AM CDT  
echeewh

You are most welcome <achieve_goal> Big Grin

Its never too late for your child to pick up and learn / refine some of these skills through my Coaching sessions in the next 5 - 6 weeks leading to the P6 Prelims. But more importantly , its also to build up the child's confidence through constant drilling of such skills and working towards achieving a better grade in the PSLE.

Thank you and all the very best,

Edward

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