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At the end of the day, a storekeeper had $1166 in the cash register, counting both the sale of goods and the sales tax of 6%. Find the amount that is the tax. Round to the nearest dollar if necessary.

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Final answer:

To find the sales tax from a total amount of $1166 with a 6% tax rate, divide the total by 1.06 to get the original price and subtract it from the total. The approximate tax amount is $66.

Step-by-step explanation:

The student wants to find out how much sales tax is included in a total amount of $1166 when the sales tax rate is 6%.

To calculate the amount that is tax, the total amount should be divided by 1.06 since the total represents 100% of the original price plus an additional 6% for tax.

To find just the tax amount, we subtract the original price (100%) from the total.

Here's the step-by-step calculation:

  1. Convert the sales tax rate to decimal: 6% = 0.06.
  2. Divide the total amount by 1.06 to find the original price before tax: $1166 / 1.06 = $1100 (approximately).
  3. Subtract the original price from the total amount to find the amount of sales tax: $1166 - $1100 = $66.

Therefore, the amount of sales tax is approximately $66 when rounded to the nearest dollar.

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