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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?

Regular Member

Registered: 09/14/11
Posts: 102

 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

Active Member

Registered: 04/21/11
Posts: 627

 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.

Regular Member

Registered: 09/14/11
Posts: 102

 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 }

Cheers,
Edward

Active Member

Registered: 04/21/11
Posts: 627

 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 }

Cheers,
Edward

Thank you for the explanation

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. Once again thank you for the effort that you take in to type and explain for each and every question I type.

Regular Member

Registered: 09/14/11
Posts: 102

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

You are most welcome <achieve_goal>

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

Active Member

Registered: 04/21/11
Posts: 627

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