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Saturday, September 23 2017 @ 11:30 AM CDT
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By: JessicaTan (offline)  Monday, February 25 2013 @ 02:28 AM CST (Read 630 times)  
JessicaTan

Please help with the below working solution.

1) Candy had 500 stamps in her collection of which 30% were from Singapore. How many Singapore stamps must her brother give her to increase the number of Singapore stamps in her collection to 44%.


2) Mark & Geroge shared a sum of money. Mark received $379. If Mark received $60 more, the amount of money Geroge received would be reduced by 15%. Find the amount of money shared by the boys.



thanks

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By: echeewh (offline)  Monday, February 25 2013 @ 04:04 AM CST  
echeewh

hey Jessica,

Following pls find my worked solutions:

Q1

<before>
S : N
3 : 7

<after>
S : N
44 : 56
11 : 14

Given that number of Non-Singapore stamps (N) remains the same / unchanged, we apply <Unchanged Qty> concept.

Multiply <before> ratio 2x, giving ...

<before1>
S : N
6 : 14

and, we have units of N stamps remain unchanged.

Given that there were 500 stamps at first, we have ...

20u --> 500
1u --> 25

Comparing <before1> and <after> ratio, there's an increase of 5u of S stamps.

Hence, 5u --> 5 × 25 = 125

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

Q2

Given that the sum of money is fixed, if M received $60 more, then G received $60 less.

Given that the amount of money G received would be reduced by 15%, we have ...

15% = 60
G: 100% = (60 ÷ 15) × 100 = 400

Amount of money shared = 400 + 379 = $779

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

Trust the above helps.

Do let me know again if the answers are different from your Answerkey or if there's further clarification.

Cheers,
Edward

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By: JessicaTan (offline)  Tuesday, February 26 2013 @ 03:40 AM CST  
JessicaTan

Thanks a lot, Edward


Rdgs
Jessica


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