Liza spent 1/2 of her money to buy new dress and gave 2/3 of the remainder to her mother. If she gave $50 to her 4 nephews and had $500 left. What was her money at first?

Answer 1

N is the amount of money at the beginning....

N = (1/2)N + (2/3)(1/2)N + 50 + 500

N = (1/2)N + (1/3)N + 550

N = (2/3)N + 550

(1/3)N = 550

N = 1650

1/2*1650 = 825

825 remains

2/3 of that is 275

dress 825

mom 275

nephew 50

remains 500

TOTAL 1650