Question
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3. Dena ordered a \( \$ 8.40 \) meal and Jules ordered a \( \$ 9.20 \) meal. If the sales tax is \( 8 \% \) and they leave a \( 20 \% \) tip on the price of the meal including tax, then what is the total?

Ask by Barker Howell. in the United States
Mar 10,2025

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Answer

The total cost is approximately \$22.81.

Solution

**Step 1: Calculate the total cost before tax** The meal for Dena is \( \$8.40 \) and the meal for Jules is \( \$9.20 \). The total cost before tax is \[ 8.40 + 9.20 = 17.60 \] **Step 2: Calculate the sales tax** The sales tax is \( 8\% \) of the total cost. Thus, \[ \text{Tax} = 0.08 \times 17.60 = 1.408 \] **Step 3: Determine the cost including tax** Add the tax to the meal cost: \[ 17.60 + 1.408 = 19.008 \] **Step 4: Calculate the tip** The tip is \( 20\% \) of the cost including tax. So, \[ \text{Tip} = 0.20 \times 19.008 = 3.8016 \] **Step 5: Calculate the total cost** Add the tip to the cost including tax: \[ 19.008 + 3.8016 \approx 22.8096 \] Rounded to the nearest cent, the total cost is approximately \[ \$22.81 \]

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To find the total cost for Dena and Jules, we first calculate the combined cost of the meals, which is \( \$8.40 + \$9.20 = \$17.60 \). Next, we need to compute the sales tax. The tax amount is \( 8\% \) of \( \$17.60 \), which is calculated as \( 0.08 \times 17.60 = \$1.41 \). Adding the tax to the meal cost: Total meal cost including tax = \( \$17.60 + \$1.41 = \$19.01 \). Now, we calculate the tip, which is \( 20\% \) of the total cost including tax: Tip = \( 0.20 \times 19.01 = \$3.80 \). Finally, the total amount they need to pay is: Total = Meal total with tax + Tip = \( \$19.01 + \$3.80 = \$22.81 \). Therefore, the total amount Dena and Jules need to pay is \( \$22.81 \).

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