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freya  jess and Kim each have some money.

jess has 1/2 as much money as Freya.

jess gives 2/5 of her money to Freya.

kim gives Freya 3/4 of her money.

freya now has £168 and Kim has £24.

 

how much money did Freya have at the start?

Guest Nov 21, 2017
 #1
avatar+91162 
+1

freya  jess and Kim each have some money.

jess has 1/2 as much money as Freya.

jess gives 2/5 of her money to Freya.

kim gives Freya 3/4 of her money.

freya now has £168 and Kim has £24.

 

how much money did Freya have at the start ???

 

Let Freya's money at the start   = F

Call  the amount that Jess originally has  =  1/2 F

So....Jess gives Freya (2/5)(1/2)F   

And Kim started with   24 / (1/4)  =  £96   ....so she gave Freya   £72

 

So at the end, Freya  has

 

F + (2/5)(1/2)F + 72 =   168      subtract 72 from each side

 

F + (1/5)F  =  96

 

(6/5)F  = 96

 

F =  96(5/6)  =  £80

 

So...Freya had    £80  at the start

 

 

cool cool cool

CPhill  Nov 21, 2017
 #2
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Thank you so much!

 

now I need to explain that to my 10 year old!!

Guest Nov 21, 2017

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