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**+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

CPhill
Nov 21, 2017