Answer:
The money she start with is $25.
Step-by-step explanation:
Given:
Vanessa spent 4/5 of her money at the bookstore.
In total, the books cost $45.
Now, to find the money she start with.
Let the money she start with be [tex]x[/tex].
Money spent at the bookstore [tex]\frac{4}{5} x[/tex].
Total books cost = $45.
According to question:
[tex]x+\frac{4}{5}x=45[/tex]
⇒[tex]x+\frac{9x}{5} =45[/tex]
Adding the variables we get:
⇒[tex]\frac{9x}{5} =45[/tex]
Multiplying both sides by 5 we get:
⇒[tex]9x=225[/tex]
Dividing both sides by 9 we get:
⇒[tex]x=\$25[/tex]
Therefore, the money she start with is $25.