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?
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