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 By: achieve_goal (offline)  Wednesday, June 12 2013 @ 08:36 AM CDT (Read 963 times)
achieve_goal

Q1. Wendy has 80 more thanMary but 50 more stamps than Jean.
Wendy gives 1/2 of her stamps to Mary.Then Mary gives 1/5 of her stamps to Jean. If
Jean has 62 more stamps than Wendy, how many stamps does Mary have in the end?

Q2.There were 1000 students at the parade ground and indoor sports hall. 40% of the
600 students at the parade ground were girls. 60% of the students at the indoor sports
hall were girls. After some students in both venues moved from one venue to the other, 30%
of the students in the parade ground and 70% of the students at the indoor sports hall
were girls. How many students were there in the indoor sports hall after the movement

Regular Member

Registered: 09/14/11
Posts: 102

 By: echeewh (offline)  Wednesday, June 12 2013 @ 05:46 PM CDT
echeewh

Hey there ,

Following pls find my worked solutions:

Q1.

<before>

W |------------<--- 80 --->|
M |------------|<30>
J |-------------------|<-50->

W: 1p + 80
M: 1p
J: 1p + 30

<process>
W gives M: (-1/2)W

(1/2)W = (1/2)p + 40

<after>
W: 1p + 80 - (1/2)p - 40 = (1/2)p + 40
M: 1p + (1/2)p + 40 = (3/2)p + 40
J: 1p + 30

<process1>
M gives J: (-1/5)M

(1/5)M = (3/10)p + 8

<after1>
W: (1/2)p + 40
M: (3/2)p + 40 - (3/10)p - 8 = (12/10)p + 32 = (6/5)p + 32
J: 1p + 30 + (3/10)p + 8 = (13/10)p + 38

Given that Jean (J) has 62 more stamps than Wendy (W),

J - W = 62
(13/10)p + 38 - (1/2)p - 40 = 62
(8/10)p = 62 - 38 + 40 = 64
1p --> 64 × (10/8) = 80

Hence, M (at end) = (6/5)p + 32
(6/5)p + 32 --> [(6/5) × 80] + 32 = 96 + 32 = 128

=========

Q2.

<Before>

P: 600
S: 1000 - 600 = 400

GP: 40% × 600 = 240
BP: 600 - 240 = 360

GS: 60% × 400 = 240
BS: 400 - 240 = 160

<Process>
Students moved from one venue to another. Hence, total is unchanged before and after.

<after>

GP : BP
30 : 70
3 : 7

GS : BS
70 : 30
7 : 3

Total G = GP + GS
3p + 7u = 240 + 240
3p + 7u = 480 -- (1)

Total B = BP + BS
7p + 3u = 360 + 160
7p + 3u = 520 -- (2)

Eliminating part(p) qty:

(1)x7:
21p + 49u = 3360 -- (3)

(2)x3:
21p + 9u = 1560 -- (4)

(3)-(4):
49u - 9u = 3360 - 1560
40u --> 1800
1u --> 45

Number of students in Sports Hall (S) after movement had taken place:

GS + BS = 7u + 3u = 10u
10u --> 10 × 45 = 450

========

Trust the above 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)  Thursday, June 13 2013 @ 01:23 AM CDT
achieve_goal

Hi, thank you for the maths solutions.this maths solutions very helpful for me. By the way, do you take tuition?

Regular Member

Registered: 09/14/11
Posts: 102

 By: echeewh (offline)  Thursday, June 13 2013 @ 10:02 PM CDT
echeewh

Hi <achieve_goal>

On the contrary , kindly refer to the following threads/posts.... and you will know what I mean

//

Forum Index > Miscellaneous > Education Classified > Carpe Diem - You Can Make the Difference

Forum Index > Miscellaneous > Education Classified > Achieving good Results in Primary Maths

Forum Index > General Chat > General Chat > Is it advisable to attend seminar that promise wonder solutions to ace maths P5/6 ?

//

Please do join me and hone your skills in order to improve your Maths for the Prelims and PSLE.

Cheers,
Edward

Active Member

Registered: 04/21/11
Posts: 627

 By: achieve_goal (offline)  Friday, June 14 2013 @ 03:11 AM CDT
achieve_goal

Quote by: echeewh

Hi <achieve_goal>

On the contrary , kindly refer to the following threads/posts.... and you will know what I mean

//

Forum Index > Miscellaneous > Education Classified > Carpe Diem - You Can Make the Difference

Forum Index > Miscellaneous > Education Classified > Achieving good Results in Primary Maths

Forum Index > General Chat > General Chat > Is it advisable to attend seminar that promise wonder solutions to ace maths P5/6 ?

//

Please do join me and hone your skills in order to improve your Maths for the Prelims and PSLE.

Cheers,
Edward

Thank you but I see that the location is quite far away... so I am unable to come as I live in Sembawang. But anyway thank you!

Regular Member

Registered: 09/14/11
Posts: 102

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