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$1800 id divided among Hashim, Nurul and Zalina in the ratio of 4 : n : 5 then, each of them an incentive of $120 from their teacher. Given the total amount of nurul's moneyis $840. Determine whether the ratio remains the same of different. If different, state the new ratio.

Guest Mar 27, 2017
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 #1
avatar+26006 
+2

"$1800 id divided among Hashim, Nurul and Zalina in the ratio of 4 : n : 5 then, each of them an incentive of $120 from their teacher. Given the total amount of nurul's moneyis $840. Determine whether the ratio remains the same of different. If different, state the new ratio."

 

.

Alan  Mar 27, 2017
 #2
avatar+75395 
+1

Here's another approach....

 

Nurul must have started with  840 - 120   = 720   = 2/5 of the money

And the other two share the remaining 3/5  in a ratio of 4 : 5

So  Hashim gets (4/9)(3/5)   =  12/45  =  4/15 = 480

And Zalina gets (5/9) (3/5) = 15/45  = 5/15  =  600

So....Nurul  gets  1 - 9/15  = 6/15

 

And the beginning ratio =     4 : 6 : 5

 

After each recieve 120, they have a total of  2160

 

And Nurul has  840/2160  = 7/18  of the total

And Hashim has 600/2160 = 5/18  of the total

And Zalina has  1 - 12/18  = 6/18  of the total

 

So the ending ratio is :

 

5 : 7  : 6

 

 

cool cool cool

CPhill  Mar 27, 2017

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