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Mr. Autry bought a hat for $99.90. He also bought a pair of boots for $89.90. What was the total cost of the hat and boots including an 8% sales tax

Respuesta :

Answer:

$204.98

Step-by-step explanation:

Step 1: Add both item cost

[tex]99.90 + 89.90 = 189.80[/tex]

Step 2: Find the sales tax of the result

[tex]\frac{8}{100}\times 189.8 = 15.184[/tex]

  • Step 1: Convert 8% to fraction
  • [tex]8\%= \frac{8}{100}[/tex]
  • Simplify
  • [tex]\frac{8}{100} = \frac{2}{25}[/tex]
  • Step 2: Convert 189.80 to a fraction
  • [tex]189.80 = \frac{189.8}{1}[/tex]
  • Step 3: Set it up
  • [tex]\frac{2}{25}\times \frac{189.8}{1}[/tex]
  • Step 4: Cross divide
  • [tex]189.80 \div 25 = 7.592\\2 \div 1 = 2[/tex]
  • Step 5: Multiply the result
  • [tex]7.592 \times 2 = 15.184[/tex]

Step 3: Add the result from the total cost of both items

[tex]189.80 + 15.184 = 204.98[/tex]

The total cost of the hats and boots including sales tax is 204.98 dollars

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