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Problem 24:
(first taught in lesson 79)
Alan bought a fencing foil for 
$56. When he went to the cash register, the total including the sales tax was 
$60.20. What was the sales tax rate? (You can use a calculator.)

Problem 2424:\newline(first taught in lesson 7979)\newlineAlan bought a fencing foil for $56 \$ 56 . When he went to the cash register, the total including the sales tax was $60.20 \$ 60.20 . What was the sales tax rate? (You can use a calculator.)

Full solution

Q. Problem 2424:\newline(first taught in lesson 7979)\newlineAlan bought a fencing foil for $56 \$ 56 . When he went to the cash register, the total including the sales tax was $60.20 \$ 60.20 . What was the sales tax rate? (You can use a calculator.)
  1. Find Sales Tax Amount: First, we need to find the amount of sales tax Alan paid.\newlineTotal cost including tax: $60.20\$60.20\newlineCost of the fencing foil before tax: $56.00\$56.00\newlineSales tax amount = Total cost including tax - Cost before tax
  2. Calculate Sales Tax: Now we perform the subtraction to find the sales tax amount.\newlineSales tax amount = $60.20\$60.20 - $56.00\$56.00\newlineSales tax amount = $4.20\$4.20
  3. Determine Sales Tax Rate: Next, we calculate the sales tax rate. The sales tax rate is the sales tax amount divided by the cost before tax, then multiplied by 100100 to get a percentage.\newlineSales tax rate = (Sales tax amount/Cost before tax)×100(\text{Sales tax amount} / \text{Cost before tax}) \times 100
  4. Calculate Sales Tax Rate: Now we perform the division and multiplication to find the sales tax rate.\newlineSales tax rate = ($4.20/$56.00)×100(\$4.20 / \$56.00) \times 100\newlineSales tax rate = 0.075×1000.075 \times 100\newlineSales tax rate = 7.5%7.5\%

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