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

$x - \dfrac{2x}{3} = \dfrac{x}{3}$

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

$\dfrac{x}{3}\times \dfrac{1}{4} = \dfrac{x}{12}$

And this amount equals 20, so we have

$\dfrac{x}{12} = 20 \iff x = 20\times 12 = 240$