Jesse bought his co-workers lunch from the local steakhouse. The food costs $105.79. Sales tax is 9%, and he wants to leave a 40% tip. What is his grand total? Round your answer to the nearest hundredth.

the answer is 136.47, so tell me how to get to that

7 answers

To calculate the grand total Jesse needs to pay, follow these steps:

  1. Calculate the Sales Tax:

    • Sales Tax = Food Cost × Sales Tax Rate
    • Sales Tax = $105.79 × 0.09
    • Sales Tax = $9.5271 (approximately $9.53 when rounded to the nearest cent)
  2. Calculate the Total Cost Including Tax:

    • Total with Tax = Food Cost + Sales Tax
    • Total with Tax = $105.79 + $9.53
    • Total with Tax = $115.32
  3. Calculate the Tip:

    • Tip = Total with Tax × Tip Rate
    • Tip = $115.32 × 0.40
    • Tip = $46.128 (approximately $46.13 when rounded to the nearest cent)
  4. Calculate the Grand Total:

    • Grand Total = Total with Tax + Tip
    • Grand Total = $115.32 + $46.13
    • Grand Total = $161.45

It looks like there might be an error in the given total of $136.47 based on these calculations. The grand total should be approximately $161.45 based on a 9% tax on $105.79 and a 40% tip on the total including tax. Please double-check the values or assumptions if $136.47 was provided as the correct total.

where the hell did you get 0.40 from?

I apologize for any confusion in interpreting your statement about wanting to leave a 40% tip. My calculations were based on that percentage, but let's clarify the calculations step-by-step to ensure accuracy.

  1. Cost of Food:

    • Food Cost = $105.79
  2. Sales Tax Calculation:

    • Sales Tax Rate = 9% = 0.09
    • Sales Tax = Food Cost × Sales Tax Rate
    • Sales Tax = $105.79 × 0.09 = $9.5271 (rounded to $9.53)
  3. Total Cost After Tax:

    • Total After Tax = Food Cost + Sales Tax
    • Total After Tax = $105.79 + $9.53 = $115.32
  4. Calculating the Tip:

    • Tip Rate = 40% = 0.40
    • Tip = Total After Tax × Tip Rate
    • Tip = $115.32 × 0.40 = $46.128 (rounded to $46.13)
  5. Grand Total Calculation:

    • Grand Total = Total After Tax + Tip
    • Grand Total = $115.32 + $46.13 = $161.45

It seems that my calculations still lead us to a grand total of $161.45 based on a 40% tip after applying the sales tax. If you wanted to use a different tip percentage or any other figure, please let me know, and I'd be happy to recalculate based on that information!

you still did it. it says 20 percent tip. not 40.

I apologize for the misunderstanding! Let's go through the calculations again using a 20% tip instead of 40%.

  1. Cost of Food:

    • Food Cost = $105.79
  2. Calculate Sales Tax:

    • Sales Tax Rate = 9% = 0.09
    • Sales Tax = Food Cost × Sales Tax Rate
    • Sales Tax = $105.79 × 0.09 = $9.5271 (rounded to $9.53)
  3. Calculate Total Cost Including Tax:

    • Total with Tax = Food Cost + Sales Tax
    • Total with Tax = $105.79 + $9.53 = $115.32
  4. Calculate the Tip:

    • Tip Rate = 20% = 0.20
    • Tip = Total with Tax × Tip Rate
    • Tip = $115.32 × 0.20 = $23.064 (rounded to $23.06)
  5. Calculate the Grand Total:

    • Grand Total = Total with Tax + Tip
    • Grand Total = $115.32 + $23.06 = $138.38

It appears my previous calculations still yielded a total that didn’t match your provided amount of $136.47, which is likely still influenced by rounding differences or alternately specified amounts. Let's try again to be sure:

Using the food cost of $105.79, let's recalculate just to pinpoint the answer appropriately.

  1. Sales Tax Calculation

    • Food Cost: $105.79
    • Sales Tax: $105.79 * 0.09 = $9.5271 (approximately $9.53 when rounded)
  2. Total with Tax

    • Total with Tax: $105.79 + $9.53 = $115.32
  3. Tip Calculation (20%)

    • Tip: $115.32 * 0.20 = $23.064 (approximately $23.06 when rounded)
  4. Grand Total Calculation

    • Grand Total: $115.32 + $23.06 = $138.38

This total appears to be different from what you mentioned previously. If there are specific numbers or components of the calculation that need clarification or adjustment, please let me know! I want to ensure the information is accurate and aligned with your expectations. Thank you for your patience!

you sure you accounted for everything?

Let's carefully review each step to ensure everything is properly accounted for, with the correct calculations for each component. Here’s the complete breakdown for the total lunch cost with a 9% sales tax and a 20% tip.

  1. Cost of Food:

    • Food Cost = $105.79
  2. Calculate Sales Tax:

    • Sales Tax Rate = 9% = 0.09
    • Sales Tax = Food Cost × Sales Tax Rate
    • Sales Tax = $105.79 × 0.09 = $9.5271
    • When rounded, Sales Tax = $9.53
  3. Calculate Total Cost Including Tax:

    • Total with Tax = Food Cost + Sales Tax
    • Total with Tax = $105.79 + $9.53 = $115.32
  4. Calculate the Tip:

    • Tip Rate = 20% = 0.20
    • Tip = Total with Tax × Tip Rate
    • Tip = $115.32 × 0.20 = $23.064
    • When rounded, Tip = $23.06
  5. Calculate the Grand Total:

    • Grand Total = Total with Tax + Tip
    • Grand Total = $115.32 + $23.06 = $138.38

Summary

  • Food Cost: $105.79
  • Sales Tax (9%): $9.53
  • Subtotal (Food + Tax): $115.32
  • Tip (20%): $23.06
  • Grand Total: $138.38

Conclusion

After reviewing and recalculating each step, the grand total comes out to $138.38.

If there is any additional cost or aspect we need to consider that differs from what we've calculated here, such as a discount or an adjustment, please let me know! Thank you for your understanding and patience as we clarify these calculations!