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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
#1
+26750
+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."

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Alan  Mar 27, 2017
#2
+87301
+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

CPhill  Mar 27, 2017