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Monday, September 25 2017 @ 10:21 AM CDT
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By: JessicaTan (offline)  Sunday, April 07 2013 @ 03:46 AM CDT (Read 535 times)  
JessicaTan


Please help with working solution. ( I don't have the answerkey)

1) Winston has $260 more than Ken. After Winston has given ken $60, he has 3 times the amount Ken has. How much does Winston have at first?



2) In a golf club, 80% of the members are men. When 252 new members joined the club, the number of women increased by 20% and the number of men doubled. How many members were there in the golf club at first?


Thanks

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By: echeewh (offline)  Sunday, April 07 2013 @ 10:12 AM CDT  
echeewh

Hi Jessica,

Following pls find my worked solution:

*** - used for alignment purpose

Q1

<before>
W |----<------- 260 ------->|
*K |----|

<process>
W: -60
K: +60

<after>
** <------ 3u ------->
****** <--- 200 --->
W |-------------------|<-60->
*K |----<-60->|
** <--- 1u --->

Using <Gap & Difference> method, we have ...

3u - 1u --> 200 - 60
2u --> 140
1u --> 70

W (at first) = 3u + 60
--> (3 × 70) + 60
= 210 + 60 = $270

=============

Q2

<before>
M : W
80 : 20
4 : 1

<Process>
M: Doubled
W: increased by 20%

<after>
M : W
8 : (6/5)

Multiply both <before> and <after> ratios 5x, we have ...

<before>
M : W
20 : 5

<after>
40 : 6

Increase in M,W members = 20u + 1u = 21u

So, 21u --> 252
1u --> 12

Total members (at first) = 25u --> 25 × 12 = 300

=============

Trust the above helps.

Do let me know again if this is different from your Answerkey or if theres further clarification..

Cheers,
Edward

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