Ava bought a collection of hardcover novels and paid $450 including sales tax the sales tax 10% How much was the price of collection of novels before taxes?

Respuesta :

Answer:

The price of collection of novels before taxes was $409.10.

Step-by-step explanation:

Given:

Ava bought a collection of hardcover novels and paid $450 including sales tax.

The sales tax is 10%.

Now, to find the price of collection of novels before taxes.

Let the price of collection of novels before sales tax be [tex]x[/tex].

The price of collection of novels including sales tax = $450.

Rate of sales tax = 10%.

Now, to get the price before sales tax by putting an equation:

[tex]x=450-10\%\ of\ x[/tex]

[tex]x=450-\frac{10}{100} \times x[/tex]

[tex]x=450-0.10\times x[/tex]

[tex]x=450-0.10x[/tex]

Adding both sides by 0.10[tex]x[/tex] we get:

[tex]1.10x=450[/tex]

Dividing both sides by 1.10 we get:

[tex]x=\$409.10.[/tex]

Therefore, the price of collection of novels before taxes was $409.10.