Answer:
She lost $20
Step-by-step explanation:
This is a 2 step problem
Let's call x the total amount of money in her purse.
First, the woman spent 4/5 of her money --> 4/5x
Then, she spent 2/3 of the remainder --> (2/3)(4/5x)
Let's take the difference of her total and what she spent.
10 = x - ((4/5x) + ((2/3)(1/5x))) --> combine like terms
10 = x - ((12/15x) + (2/15x))
10 = x - (14/15x)
10 = 1/15x
x = 10*15
x = 150
If she lost 2/15x
(2/15)(150) = 20
