Write an equation and solve using your equation.
A women spent two-thirds of her money. She lost two-thirds of the remainder and then had $4 left. With how much money did she start?
Let woman started with $ x
money spent $\displaystyle = \frac{2}{3}x$
money remaining $\displaystyle = x - \frac{2}{3}x=\frac{1}{3}x$
money lost $\displaystyle = \frac{2}{3}\times \frac{1}{3}x = \frac{2}{9}x$
money remaining after losing, $\displaystyle = \frac{1}{3}x-\frac{2}{9}x$
$\displaystyle 4= \frac{1}{3}x-\frac{2}{9}x$
now, can you finish it ???