In Las Vegas, Nevada, stores charge a 4.6\%4.6% state sales tax and a 3.65\%3.65% county sales tax. Yuki is purchasing a handbag priced at \$220$220 before tax. How much sales tax does Yuki pay for her handbag purchase?

Respuesta :

Answer:

$18.15

Step-by-step explanation:

We have been given that in Las Vegas, Nevada, stores charge a 4.6% state sales tax and a 3.65% county sales tax. Yuki is purchasing a handbag priced at \$220$220 before tax.

To find total sales tax paid by Yuki for her handbag purchase we will find 4.6% of $220 and 3.65% of $220 and add amount of both taxes.  

[tex]\text{Total sales tax amount}=\text{State sales tax amount+ County sales tax amount}[/tex]

[tex]\text{States sales tax amount for handbag}=\frac{4.6}{100}*220[/tex]

[tex]\text{States sales tax amount for handbag}=0.046*220[/tex]

[tex]\text{States sales tax amount for handbag}=10.12[/tex]

Now let us find county sales tax for handbag purchase.

[tex]\text{County sales tax amount for handbag}=\frac{3.65}{100}*220[/tex]

[tex]\text{County sales tax amount for handbag}=0.0365*220[/tex]

[tex]\text{County sales tax amount for handbag}=8.03[/tex]

Now let us add both amount to get total tax paid by Yuki.

[tex]\text{Total sales tax}=10.12+8.03[/tex]

[tex]\text{Total sales tax}=18.15[/tex]

Therefore, Yuki paid $18.15 sales tax for her handbag purchase.