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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 before tax.
How much sales tax does Yuki pay for her handbag purchase?

$
◻

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 $\$220$ before tax. How much sales tax does Yuki pay for her handbag purchase? $\newline$ $\$\square$

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Multi-step problems with percents

Full solution

Q. 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

before tax. How much sales tax does Yuki pay for her handbag purchase?

\newline

\$\square

Calculate Total Sales Tax Rate: First, we need to calculate the total sales tax rate by adding the state sales tax rate and the county sales tax rate. $\newline$ State sales tax rate: $4.6\%$ $\newline$ County sales tax rate: $3.65\%$ $\newline$ Total sales tax rate = $4.6\% + 3.65\%$
Convert Percentage to Decimal: Now, let's convert the percentage to a decimal to make the calculation easier. $\newline$ Total sales tax rate = $4.6\% + 3.65\% = 8.25\%$ $\newline$ To convert this to a decimal, we divide by $100$ . $\newline$ $8.25\% / 100 = 0.0825$
Calculate Sales Tax Amount: Next, we calculate the amount of sales tax Yuki will pay for her handbag purchase. $\newline$ Handbag price before tax: $\$220$ $\newline$ Total sales tax rate (as a decimal): $0.0825$ $\newline$ Sales tax amount = Handbag price before tax $*$ Total sales tax rate $\newline$ Sales tax amount = $\$220 \times 0.0825$
Perform Multiplication: Now, we perform the multiplication to find the sales tax amount. Sales tax amount = $\$220 \times 0.0825 = \$18.15$

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