A menu in a restaurant states that a gratuity of 18% is added to the bill for groups of 8 or more. If the bill for 10 people is $415, which of the following is closest to the total bill, including the gratuity?

Rationale

$490 is the total bill, including the gratuity.

To find the total bill including gratuity, we first calculate the gratuity amount by multiplying the bill by 18%, then add that to the original bill. For a bill of $415, the gratuity is $415 × 0.18 = $74.70. Adding this gratuity to the original bill gives us a total of $415 + $74.70 = $489.70, which rounds to $490.

A ($433) YOUR ANSWER

This option calculates a total that is significantly lower than the actual amount. If we were to assume a much lower gratuity percentage, the total would still not approach this figure, indicating a misunderstanding of the gratuity calculation.

B ($448) YOUR ANSWER

This total is also too low. It likely results from underestimating the gratuity, perhaps by calculating less than the full 18%. However, even with a smaller percentage added, the total would still exceed $448 based on the original bill.

C ($476) YOUR ANSWER

While this option is closer than the previous choices, it still fails to accurately reflect the total with the correct gratuity. This miscalculation could arise from rounding errors or misapplying the gratuity percentage.

D ($490) CORRECT

This choice correctly accounts for the total including the gratuity. The calculations demonstrate that the total bill of $415 plus the gratuity of $74.70 indeed equals $489.70, which rounds to $490, making this the closest and correct answer.

Conclusion

The final total bill, including an 18% gratuity on a $415 meal for a group of 10, correctly calculates to approximately $490. Understanding how to apply the gratuity percentage is essential for determining the final amount owed, and this choice accurately reflects that calculation. All other options underestimate the total due to incorrect gratuity computations.

A menu in a restaurant states that a gratuity of 18% is added to the bill for groups of 8 or more. If the bill for 10 people is $415, which of the following is closest to the total bill, including the gratuity?

$490 is the total bill, including the gratuity.

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