Miss jones gave 1/4 of her money to charity and 1/2 of the remainder to her mother. then miss jones had 240 left. how much money did she have that first?

Let x be the initial amount of money. Miss Jones gave 1/4 of her money to charity, which means that the remainder is

Half of this remainder is given to her mother, so the new remainder is half of the previous one:

So, the remaining 240 are 3/8 of what she had at the beginning. This means that she had

at the beginning.