Answer :
Let the initial amount be "X"
Now,
since she lost 17% of her initial amount and she has $10375, we can write,
17% of X = $10375
[tex] \frac{17}{100} * X =[/tex]$10375
Now, you multiply both sides by [tex] \frac{100}{17} [/tex] to get X by itself,
[tex] \frac{17}{100} * X * \frac{100}{17}= 10375* \frac{100}{17}[/tex]
[tex]X=61029.41176[/tex]
X = $61029.41 (rounded to the tenth decimal place)
So, initially she had $61029.41
Now,
since she lost 17% of her initial amount and she has $10375, we can write,
17% of X = $10375
[tex] \frac{17}{100} * X =[/tex]$10375
Now, you multiply both sides by [tex] \frac{100}{17} [/tex] to get X by itself,
[tex] \frac{17}{100} * X * \frac{100}{17}= 10375* \frac{100}{17}[/tex]
[tex]X=61029.41176[/tex]
X = $61029.41 (rounded to the tenth decimal place)
So, initially she had $61029.41
