Vanessa spent 4/5 of her money at the bookstore. In total, the books cost $45. How much did she start with?

Respuesta :

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.