Given:
Price of golf after tax = $460
Rate of sales tax = 9%
To find:
The amount of tax.
Solution:
Let x be the price of golf before tax.
According to the question,
Price of golf after tax = Price of golf before tax + tax
[tex]460=x+\dfrac{9}{100}x[/tex]
[tex]460=x+0.09x[/tex]
[tex]460=1.09x[/tex]
Divide both sides by 1.09.
[tex]\dfrac{460}{1.09}=x[/tex]
[tex]422.01835=x[/tex]
[tex]x\approx 422[/tex]
So, price of golf before tax is $422.
Now,
[tex]tax = \dfrac{9}{100}x[/tex]
[tex]tax = \dfrac{9}{100}(422)[/tex]
[tex]tax =\dfrac{3798}{100}[/tex]
[tex]tax=37.98[/tex]
Therefore, the amount of tax is $37.98.
