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.