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Magan bought f folders that cost $0.30 each and m markers that cost $0.65 each. Sales tax is 8.25%. Which expression represents the total amount Magan paid, including tax? 0.3(0.0825 f)+0.65(0.0825 m) (0.3+0.65)+0.0825(0.3+0.65) (0.3 f+0.65 m)+0.0825(0.3 f+0.65 m) 1.0825(f+m)

Magan bought f f folders that cost $0.30 \$ 0.30 each and m m markers that cost $0.65 \$ 0.65 each. Sales tax is 8.25% 8.25 \% . Which expression represents the total amount Magan paid, including tax?\newline0.3(0.0825f)+0.65(0.0825m) 0.3(0.0825 f)+0.65(0.0825 m) \newline(0.3+0.65)+0.0825(0.3+0.65) (0.3+0.65)+0.0825(0.3+0.65) \newline(0.3f+0.65m)+0.0825(0.3f+0.65m) (0.3 f+0.65 m)+0.0825(0.3 f+0.65 m) \newline1.0825(f+m) 1.0825(f+m)

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Full solution

Q. Magan bought f f folders that cost $0.30 \$ 0.30 each and m m markers that cost $0.65 \$ 0.65 each. Sales tax is 8.25% 8.25 \% . Which expression represents the total amount Magan paid, including tax?\newline0.3(0.0825f)+0.65(0.0825m) 0.3(0.0825 f)+0.65(0.0825 m) \newline(0.3+0.65)+0.0825(0.3+0.65) (0.3+0.65)+0.0825(0.3+0.65) \newline(0.3f+0.65m)+0.0825(0.3f+0.65m) (0.3 f+0.65 m)+0.0825(0.3 f+0.65 m) \newline1.0825(f+m) 1.0825(f+m)
  1. Calculate cost of folders: Calculate the cost of folders without tax.\newlineCost of folders = number of folders * cost per folder\newlineCost of folders = f∗$0.30f * \$0.30
  2. Calculate cost of markers: Calculate the cost of markers without tax.\newlineCost of markers = number of markers ×\times cost per marker\newlineCost of markers = m×$0.65m \times \$0.65
  3. Calculate total cost before tax: Calculate the total cost before tax.\newlineTotal cost before tax = Cost of folders + Cost of markers\newlineTotal cost before tax = f∗$0.30f * \$0.30 + m∗$0.65m * \$0.65
  4. Calculate sales tax: Calculate the sales tax on the total cost.\newlineSales tax = Total cost before tax * sales tax rate\newlineSales tax = ((f∗($0.30)+(m∗($0.65)))∗0.0825)((f * (\$0.30) + (m * (\$0.65))) * 0.0825)
  5. Calculate total cost with tax: Calculate the total cost including tax.\newlineTotal cost including tax = Total cost before tax + Sales tax\newlineTotal cost including tax = f∗$0.30f * \$0.30 + m∗$0.65m * \$0.65 + \(f * \$0.30 + m∗$0.65m * \$0.65\) * 00.08250825
  6. Simplify total cost expression: Simplify the expression for the total cost including tax.\newlineTotal cost including tax = (0.3f+0.65m)+0.0825(0.3f+0.65m)(0.3 f + 0.65 m) + 0.0825(0.3 f + 0.65 m)

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