In las vegas, nevada, stores charge a 4.6\%4.6%4, point, 6, percent state sales tax and a 3.65\%3.65%3, point, 65, percent county sales tax. yuki is purchasing a handbag priced at \$220$220dollar sign, 220 before tax. how much sales tax does yuki pay for her handbag purchase?

$18.15

Explanation:

In this case, we can add the percentages because they are taken of the same number.

The state sales tax, 4.6%, will be taken of $220, the purchase price.  The county sales tax, 3.65%, will also be taken of $220, the purchase price.  Since they are being taken of the same number, we can add the percentages:

4.6+3.65 = 8.25%

Now we can take 8.25% of 220:

8.25% = 8.25/100 = 0.0825

0.0825(220) = $18.15

For this case, the total percentage of taxes is given by:

Then, to find the total percentage of taxes, we can make the following rule of three:

220 $ ---------------> 100%

x --------------------> 8.25%

From here, we clear the value of x.

We have then:

The amount of taxes that Yuki pays is $ 18.15.

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