Answer:
$120
Step-by-step explanation:
Suppose the woman had x dollars in her purse at the beginning of the shopping.
First, she spent 4/5 of all the money she had, therefore she had 1-4/5=1/5 left
1/5 of x = (1/5)x or 0.2x
Then she lost 2/3 of what was remaining, which is 2/3 * (1/5)x= (2/15)x
What will be left will be (1-2/3) or 1/3 of that 1/5x left after shopping.
This will be 1/3*(1/5)x=(1/15)x
It is given from the problem statement that this is $10 left.
Therefore, (1/15)x= 10
Multiplying through by 15 and simplifying,
x= $150.
Now she spent 4/5 of this $150, which is
(4/5)*150=$120
