Answer:
The money she start with is $25.
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
.
Money spent at the bookstore
.
Total books cost = $45.
According to question:
![x+(4)/(5)x=45](https://img.qammunity.org/2020/formulas/mathematics/middle-school/bs1w6ff3o1d7hqojn5hr0r30ij9xlalphz.png)
⇒
![x+(9x)/(5) =45](https://img.qammunity.org/2020/formulas/mathematics/middle-school/wqxx47znz36cnoe5w3ifd8ga5nyb2e6t1q.png)
Adding the variables we get:
⇒
![(9x)/(5) =45](https://img.qammunity.org/2020/formulas/mathematics/middle-school/51yb6n1bx4pr16o9cx7pk9w1f1d8a676ay.png)
Multiplying both sides by 5 we get:
⇒
![9x=225](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ljv7tou9ejo3ixbtvlgbkwxqqhtdhjf7py.png)
Dividing both sides by 9 we get:
⇒
![x=\$25](https://img.qammunity.org/2020/formulas/mathematics/middle-school/7fko7ptej7g4myur5ew1gjo3i0eqcdxtlh.png)
Therefore, the money she start with is $25.