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Midtown Antiques collects 3% sales tax on all sales. If total sales including tax are$1813.61, find the portion that is the tax amount.

Question

Midtown Antiques Sales Tax Calculation

Midtown Antiques collects 3% sales tax on all sales. If the total sales including tax are $1813.61, find the portion that is the tax amount.

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Solution

To find the tax amount, we need to use the formula for the total amount which is:

Total Amount = Amount before Tax + Tax Amount

We know that the total amount is $1813.61 and the tax rate is 3%. We can express the tax rate as a decimal by dividing it by 100, so 3% becomes 0.03.

We can rearrange the formula to find the Amount before Tax:

Amount before Tax = Total Amount / (1 + Tax Rate)

Substituting the given values:

Amount before Tax = 1813.61/(1+0.03)=1813.61 / (1 + 0.03) = 1760

Now, we can find the Tax Amount by subtracting the Amount before Tax from the Total Amount:

Tax Amount = Total Amount - Amount before Tax

Tax Amount = 1813.611813.61 - 1760 = $53.61

So, the portion that is the tax amount is $53.61.

This problem has been solved

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