Question

mum spent 2/3 of her money and put 1/4 of the remainder in the bank. she put $20 in the bank. How much did she start with?

Answer 1

Let x be the initial amount of money. We know that mum spent 2/3 of this amount, so she's left with

`x - (2x)/(3) = (x)/(3)`

Of this remainder, only 1/4 was deposited, which is

`(x)/(3)* (1)/(4) = (x)/(12)`

And this amount equals 20, so we have

`(x)/(12) = 20 \iff x = 20* 12 = 240`