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Thursday, July 20 2017 @ 07:33 AM CDT
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By: Strawberry (offline)  Saturday, March 23 2013 @ 10:34 PM CDT (Read 891 times)  
Strawberry

1. Serene, Fabian and Eileen shared their prize money of $4100 among themselves. Twice of Serene's share was equal to 5 times of Fabian's share. 4 times of Serene's share was also equal to 3 times of Eileen's share. Calculate Serene's share

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By: echeewh (offline)  Sunday, March 24 2013 @ 08:32 AM CDT  
echeewh

Hi Strawberry ,

Hope you have completed the lesson on Ratio as the following method makes use of Ratio techniques to answer. However, the unit components in the Ratios as provided in my worked solution can also be translated into models ( if you choose to do it by Fractions )

Following pls find my worked solution.

2S = 5F
S : F
5 : 2 --- (1)

4S = 3E
S : E
3 : 4 --- (2)

Using <Repeated Identity> method {where S is repeated / common in both ratios}, multiply (1) 3x, (2) 5x {common multiple of 5,3 = 15} and we have ...

S : F
15 : 6

S : E
15 : 20

Merging both ratios ...

S : F : E
15 : 6 : 20

Given that S+F+E = $4100, we have ...

41u --> 4100
1u --> 100

S = 15u --> 15 × 100 = $1500

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

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: Strawberry (offline)  Tuesday, March 26 2013 @ 10:08 AM CDT  
Strawberry

lol... (laughing at myself)
Was thinking at the question from a very difficult angle and miss out the common multiple method...

Thanks for explaining..

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